24725664 has 36 divisors (see below), whose sum is σ = 70314426. Its totient is φ = 8241792.

The previous prime is 24725663. The next prime is 24725671. The reversal of 24725664 is 46652742.

24725664 is a `hidden beast` number, since 24 + 72 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12531600 + 12194064 = 3540^2 + 3492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×24725664² = 1222716920481792, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (24725663) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42639 + ... + 43214.

Almost surely, 2^24725664 is an apocalyptic number.

24725664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24725664 is an abundant number, since it is smaller than the sum of its proper divisors (45588762).

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

24725664 is a wasteful number, since it uses less digits than its factorization.

24725664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85869 (or 85858 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 24725664 is about 4972.4907239732. The cubic root of 24725664 is about 291.3282864698.

The spelling of 24725664 in words is "twenty-four million, seven hundred twenty-five thousand, six hundred sixty-four".