24978960 has 60 divisors (see below), whose sum is σ = 83890092. Its totient is φ = 6660864.

The previous prime is 24978937. The next prime is 24978971. The reversal of 24978960 is 6987942.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12616704 + 12362256 = 3552^2 + 3516^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16627 + ... + 18066.

Almost surely, 2^24978960 is an apocalyptic number.

24978960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24978960 is an abundant number, since it is smaller than the sum of its proper divisors (58911132).

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

24978960 is a wasteful number, since it uses less digits than its factorization.

24978960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34712 (or 34703 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 24978960 is about 4997.8955571320. The cubic root of 24978960 is about 292.3197223545.

The spelling of 24978960 in words is "twenty-four million, nine hundred seventy-eight thousand, nine hundred sixty".