1361424 has 40 divisors (see below), whose sum is σ = 3562272. Its totient is φ = 448000.

The previous prime is 1361417. The next prime is 1361431. The reversal of 1361424 is 4241631.

It is an interprime number because it is at equal distance from previous prime (1361417) and next prime (1361431).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 1361424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5299 + ... + 5549.

2^1361424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781136).

1361424 is an abundant number, since it is smaller than the sum of its proper divisors (2200848).

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

1361424 is a wasteful number, since it uses less digits than its factorization.

1361424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 369 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 1361424 is about 1166.8007541993. The cubic root of 1361424 is about 110.8318206337.

The spelling of 1361424 in words is "one million, three hundred sixty-one thousand, four hundred twenty-four".