13929600 has 96 divisors (see below), whose sum is σ = 45912240. Its totient is φ = 3712000.

The previous prime is 13929583. The next prime is 13929611. The reversal of 13929600 is 692931.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8875 + ... + 10325.

Almost surely, 2^13929600 is an apocalyptic number.

13929600 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 13929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22956120).

13929600 is an abundant number, since it is smaller than the sum of its proper divisors (31982640).

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

13929600 is a wasteful number, since it uses less digits than its factorization.

13929600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 13929600 is about 3732.2379345374. The cubic root of 13929600 is about 240.6095616114.

The spelling of 13929600 in words is "thirteen million, nine hundred twenty-nine thousand, six hundred".