13992400 has 30 divisors (see below), whose sum is σ = 33617702. Its totient is φ = 5596800.

The previous prime is 13992383. The next prime is 13992403. The reversal of 13992400 is 429931.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1089936 + 12902464 = 1044^2 + 3592^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13992403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17091 + ... + 17890.

Almost surely, 2^13992400 is an apocalyptic number.

13992400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13992400 is an abundant number, since it is smaller than the sum of its proper divisors (19625302).

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

13992400 is a wasteful number, since it uses less digits than its factorization.

13992400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34999 (or 34988 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 13992400 is about 3740.6416561868. The cubic root of 13992400 is about 240.9706064253.

The spelling of 13992400 in words is "thirteen million, nine hundred ninety-two thousand, four hundred".