13401792 has 84 divisors (see below), whose sum is σ = 39227760. Its totient is φ = 4372992.

The previous prime is 13401781. The next prime is 13401803. The reversal of 13401792 is 29710431.

13401792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13401781) and next prime (13401803).

It is a super-2 number, since 2×13401792² = 359216057622528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30309 + ... + 30747.

Almost surely, 2^13401792 is an apocalyptic number.

13401792 is a gapful number since it is divisible by the number (12) 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 13401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19613880).

13401792 is an abundant number, since it is smaller than the sum of its proper divisors (25825968).

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

13401792 is a wasteful number, since it uses less digits than its factorization.

13401792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13401792 is about 3660.8458039093. The cubic root of 13401792 is about 237.5313613249.

The spelling of 13401792 in words is "thirteen million, four hundred one thousand, seven hundred ninety-two".