24720960 has 112 divisors (see below), whose sum is σ = 85660992. Its totient is φ = 5990400.

The previous prime is 24720953. The next prime is 24720961. The reversal of 24720960 is 6902742.

It is a happy number.

It is a super-2 number, since 2×24720960² = 1222251726643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (24720961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9390 + ... + 11730.

Almost surely, 2^24720960 is an apocalyptic number.

24720960 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 24720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42830496).

24720960 is an abundant number, since it is smaller than the sum of its proper divisors (60940032).

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

24720960 is a wasteful number, since it uses less digits than its factorization.

24720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 24720960 is about 4972.0176990835. The cubic root of 24720960 is about 291.3098104554.

The spelling of 24720960 in words is "twenty-four million, seven hundred twenty thousand, nine hundred sixty".