14575680 has 224 divisors, whose sum is σ = 59009280. Its totient is φ = 3317760.

The previous prime is 14575657. The next prime is 14575709. The reversal of 14575680 is 8657541.

14575680 is a `hidden beast` number, since 1 + 4 + 575 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 60360 + ... + 60600.

Almost surely, 2^14575680 is an apocalyptic number.

14575680 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 14575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29504640).

14575680 is an abundant number, since it is smaller than the sum of its proper divisors (44433600).

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

14575680 is a wasteful number, since it uses less digits than its factorization.

14575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 14575680 is about 3817.8108910736. The cubic root of 14575680 is about 244.2734549535.

The spelling of 14575680 in words is "fourteen million, five hundred seventy-five thousand, six hundred eighty".