24672960 has 168 divisors, whose sum is σ = 91531440. Its totient is φ = 6064128.

The previous prime is 24672953. The next prime is 24672961. The reversal of 24672960 is 6927642.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (24672961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37111 + ... + 37769.

It is an arithmetic number, because the mean of its divisors is an integer number (544830).

Almost surely, 2^24672960 is an apocalyptic number.

24672960 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 24672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45765720).

24672960 is an abundant number, since it is smaller than the sum of its proper divisors (66858480).

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

24672960 is a wasteful number, since it uses less digits than its factorization.

24672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 24672960 is about 4967.1883394935. The cubic root of 24672960 is about 291.1211455771.

The spelling of 24672960 in words is "twenty-four million, six hundred seventy-two thousand, nine hundred sixty".