13920900 has 108 divisors (see below), whose sum is σ = 46903248. Its totient is φ = 3178560.

The previous prime is 13920887. The next prime is 13920913. The reversal of 13920900 is 902931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13920887) and next prime (13920913).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14227 + ... + 15173.

Almost surely, 2^13920900 is an apocalyptic number.

13920900 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 13920900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23451624).

13920900 is an abundant number, since it is smaller than the sum of its proper divisors (32982348).

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

13920900 is a wasteful number, since it uses less digits than its factorization.

13920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 13920900 is about 3731.0722319462. The cubic root of 13920900 is about 240.5594587336.

The spelling of 13920900 in words is "thirteen million, nine hundred twenty thousand, nine hundred".