1271424 has 128 divisors (see below), whose sum is σ = 4308480. Its totient is φ = 322560.

The previous prime is 1271419. The next prime is 1271429. The reversal of 1271424 is 4241721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1271419) and next prime (1271429).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1271424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29547 + ... + 29589.

It is an arithmetic number, because the mean of its divisors is an integer number (33660).

2^1271424 is an apocalyptic number.

1271424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1271424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2154240).

1271424 is an abundant number, since it is smaller than the sum of its proper divisors (3037056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1271424 is a wasteful number, since it uses less digits than its factorization.

1271424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

The product of its digits is 448, while the sum is 21.

The square root of 1271424 is about 1127.5743877900. The cubic root of 1271424 is about 108.3336731087. Note that the first 3 decimals are identical.

It can be divided in two parts, 127 and 1424, that added together give a palindrome (1551).

The spelling of 1271424 in words is "one million, two hundred seventy-one thousand, four hundred twenty-four".