23760640 has 72 divisors (see below), whose sum is σ = 59970960. Its totient is φ = 8994816.

The previous prime is 23760613. The next prime is 23760661. The reversal of 23760640 is 4606732.

It is a junction number, because it is equal to n+sod(n) for n = 23760599 and 23760608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23832 + ... + 24808.

It is an arithmetic number, because the mean of its divisors is an integer number (832930).

Almost surely, 2^23760640 is an apocalyptic number.

23760640 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 23760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29985480).

23760640 is an abundant number, since it is smaller than the sum of its proper divisors (36210320).

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

23760640 is an equidigital number, since it uses as much as digits as its factorization.

23760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 23760640 is about 4874.4886911347. The cubic root of 23760640 is about 287.4877726369.

The spelling of 23760640 in words is "twenty-three million, seven hundred sixty thousand, six hundred forty".