23782560 has 48 divisors (see below), whose sum is σ = 74916576. Its totient is φ = 6341888.

The previous prime is 23782553. The next prime is 23782573. The reversal of 23782560 is 6528732.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×23782560² = 1131220320307200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 24294 + ... + 25253.

It is an arithmetic number, because the mean of its divisors is an integer number (1560762).

Almost surely, 2^23782560 is an apocalyptic number.

23782560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23782560 is an abundant number, since it is smaller than the sum of its proper divisors (51134016).

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

23782560 is a wasteful number, since it uses less digits than its factorization.

23782560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49565 (or 49557 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 23782560 is about 4876.7366137613. The cubic root of 23782560 is about 287.5761512203.

It can be divided in two parts, 23782 and 560, that added together give a palindrome (24342).

The spelling of 23782560 in words is "twenty-three million, seven hundred eighty-two thousand, five hundred sixty".