13893792 has 96 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 4120320.

The previous prime is 13893779. The next prime is 13893799. The reversal of 13893792 is 29739831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13893792² = 386074912278528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13893799) 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, 62193 + ... + 62415.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 2^13893792 is an apocalyptic number.

13893792 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 13893792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

13893792 is an abundant number, since it is smaller than the sum of its proper divisors (26748768).

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

13893792 is a wasteful number, since it uses less digits than its factorization.

13893792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 13893792 is about 3727.4377258380. The cubic root of 13893792 is about 240.4032110962.

The spelling of 13893792 in words is "thirteen million, eight hundred ninety-three thousand, seven hundred ninety-two".