24982960 has 80 divisors (see below), whose sum is σ = 60710400. Its totient is φ = 9554688.

The previous prime is 24982933. The next prime is 24982999. The reversal of 24982960 is 6928942.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316201 + ... + 316279.

It is an arithmetic number, because the mean of its divisors is an integer number (758880).

Almost surely, 2^24982960 is an apocalyptic number.

24982960 is a gapful number since it is divisible by the number (20) 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 24982960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355200).

24982960 is an abundant number, since it is smaller than the sum of its proper divisors (35727440).

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

24982960 is a wasteful number, since it uses less digits than its factorization.

24982960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 24982960 is about 4998.2957095394. The cubic root of 24982960 is about 292.3353250388.

The spelling of 24982960 in words is "twenty-four million, nine hundred eighty-two thousand, nine hundred sixty".