23982560 has 192 divisors, whose sum is σ = 72576000. Its totient is φ = 7451136.

The previous prime is 23982559. The next prime is 23982587. The reversal of 23982560 is 6528932.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 23982560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1042709 + ... + 1042731.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^23982560 is an apocalyptic number.

23982560 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 23982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

23982560 is an abundant number, since it is smaller than the sum of its proper divisors (48593440).

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

23982560 is a wasteful number, since it uses less digits than its factorization.

23982560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 23982560 is about 4897.1991995425. The cubic root of 23982560 is about 288.3800281516.

It can be divided in two parts, 23982 and 560, that added together give a palindrome (24542).

The spelling of 23982560 in words is "twenty-three million, nine hundred eighty-two thousand, five hundred sixty".