13934400 has 84 divisors (see below), whose sum is σ = 45732192. Its totient is φ = 3714560.

The previous prime is 13934399. The next prime is 13934411. The reversal of 13934400 is 443931.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3349 + ... + 6251.

Almost surely, 2^13934400 is an apocalyptic number.

13934400 is a gapful number since it is divisible by the number (10) 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 13934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22866096).

13934400 is an abundant number, since it is smaller than the sum of its proper divisors (31797792).

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

13934400 is a wasteful number, since it uses less digits than its factorization.

13934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 13934400 is about 3732.8809249693. The cubic root of 13934400 is about 240.6371956488.

The spelling of 13934400 in words is "thirteen million, nine hundred thirty-four thousand, four hundred".