1292424 has 64 divisors (see below), whose sum is σ = 3792000. Its totient is φ = 366912.

The previous prime is 1292419. The next prime is 1292429. The reversal of 1292424 is 4242921.

1292424 is nontrivially palindromic in base 13.

It is an interprime number because it is at equal distance from previous prime (1292419) and next prime (1292429).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1292394 and 1292403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292429) 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, 8154 + ... + 8310.

It is an arithmetic number, because the mean of its divisors is an integer number (59250).

2^1292424 is an apocalyptic number.

1292424 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 1292424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896000).

1292424 is an abundant number, since it is smaller than the sum of its proper divisors (2499576).

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

1292424 is a wasteful number, since it uses less digits than its factorization.

1292424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1292424 is about 1136.8482748371. The cubic root of 1292424 is about 108.9268650607.

The spelling of 1292424 in words is "one million, two hundred ninety-two thousand, four hundred twenty-four".