24972864 has 112 divisors (see below), whose sum is σ = 80028288. Its totient is φ = 6709248.

The previous prime is 24972863. The next prime is 24972877. The reversal of 24972864 is 46827942.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (24972863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22302 + ... + 23394.

Almost surely, 2^24972864 is an apocalyptic number.

24972864 is a gapful number since it is divisible by the number (24) 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 24972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40014144).

24972864 is an abundant number, since it is smaller than the sum of its proper divisors (55055424).

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

24972864 is a wasteful number, since it uses less digits than its factorization.

24972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1122 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 24972864 is about 4997.2856632376. The cubic root of 24972864 is about 292.2959406597.

The spelling of 24972864 in words is "twenty-four million, nine hundred seventy-two thousand, eight hundred sixty-four".