24965280 has 96 divisors (see below), whose sum is σ = 87393600. Its totient is φ = 6656256.

The previous prime is 24965257. The next prime is 24965293. The reversal of 24965280 is 8256942.

It is a happy number.

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 (36).

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, 1431 + ... + 7209.

It is an arithmetic number, because the mean of its divisors is an integer number (910350).

Almost surely, 2^24965280 is an apocalyptic number.

24965280 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 24965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696800).

24965280 is an abundant number, since it is smaller than the sum of its proper divisors (62428320).

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

24965280 is a wasteful number, since it uses less digits than its factorization.

24965280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5803 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 24965280 is about 4996.5267936838. The cubic root of 24965280 is about 292.2663485812.

It can be divided in two parts, 2496 and 5280, that added together give a 5-th power (7776 = 6⁵).

The spelling of 24965280 in words is "twenty-four million, nine hundred sixty-five thousand, two hundred eighty".