24968832 has 96 divisors (see below), whose sum is σ = 77209920. Its totient is φ = 7128576.

The previous prime is 24968813. The next prime is 24968863. The reversal of 24968832 is 23886942.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18153 + ... + 19479.

It is an arithmetic number, because the mean of its divisors is an integer number (804270).

Almost surely, 2^24968832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24968832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38604960).

24968832 is an abundant number, since it is smaller than the sum of its proper divisors (52241088).

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

24968832 is a wasteful number, since it uses less digits than its factorization.

24968832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1339 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 24968832 is about 4996.8822279497. The cubic root of 24968832 is about 292.2802089083.

The spelling of 24968832 in words is "twenty-four million, nine hundred sixty-eight thousand, eight hundred thirty-two".