24967560 has 64 divisors (see below), whose sum is σ = 79315200. Its totient is φ = 6265856.

The previous prime is 24967549. The next prime is 24967567. The reversal of 24967560 is 6576942.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (24967567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4080 + ... + 8159.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 2^24967560 is an apocalyptic number.

24967560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

24967560 is the 4080-th pentagonal number.

It is an amenable number.

24967560 is an abundant number, since it is smaller than the sum of its proper divisors (54347640).

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

24967560 is a wasteful number, since it uses less digits than its factorization.

24967560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12270 (or 12266 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 24967560 is about 4996.7549469631. The cubic root of 24967560 is about 292.2752455639.

The spelling of 24967560 in words is "twenty-four million, nine hundred sixty-seven thousand, five hundred sixty".