14557968 has 100 divisors (see below), whose sum is σ = 43211520. Its totient is φ = 4729536.

The previous prime is 14557957. The next prime is 14557973. The reversal of 14557968 is 86975541.

14557968 is a `hidden beast` number, since 1 + 4 + 557 + 96 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60793 + ... + 61031.

Almost surely, 2^14557968 is an apocalyptic number.

14557968 is a gapful number since it is divisible by the number (18) 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 14557968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605760).

14557968 is an abundant number, since it is smaller than the sum of its proper divisors (28653552).

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

14557968 is a wasteful number, since it uses less digits than its factorization.

14557968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 14557968 is about 3815.4905320286. The cubic root of 14557968 is about 244.1744698603.

The spelling of 14557968 in words is "fourteen million, five hundred fifty-seven thousand, nine hundred sixty-eight".