14657920 has 64 divisors (see below), whose sum is σ = 36046800. Its totient is φ = 5695488.

The previous prime is 14657917. The next prime is 14657921. The reversal of 14657920 is 2975641.

14657920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14657921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23371 + ... + 23989.

Almost surely, 2^14657920 is an apocalyptic number.

14657920 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 14657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023400).

14657920 is an abundant number, since it is smaller than the sum of its proper divisors (21388880).

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

14657920 is an equidigital number, since it uses as much as digits as its factorization.

14657920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 14657920 is about 3828.5663112972. The cubic root of 14657920 is about 244.7320129597.

The spelling of 14657920 in words is "fourteen million, six hundred fifty-seven thousand, nine hundred twenty".