14957712 has 240 divisors, whose sum is σ = 55710720. Its totient is φ = 3628800.

The previous prime is 14957681. The next prime is 14957729. The reversal of 14957712 is 21775941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210637 + ... + 210707.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 2^14957712 is an apocalyptic number.

14957712 is a gapful number since it is divisible by the number (12) 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 14957712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855360).

14957712 is an abundant number, since it is smaller than the sum of its proper divisors (40753008).

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

14957712 is a wasteful number, since it uses less digits than its factorization.

14957712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 14957712 is about 3867.5201356942. The cubic root of 14957712 is about 246.3892311311.

The spelling of 14957712 in words is "fourteen million, nine hundred fifty-seven thousand, seven hundred twelve".