23815680 has 160 divisors (see below), whose sum is σ = 87208704. Its totient is φ = 5431296.

The previous prime is 23815643. The next prime is 23815733. The reversal of 23815680 is 8651832.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×23815680² = 1134373227724800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53539 + ... + 53981.

Almost surely, 2^23815680 is an apocalyptic number.

23815680 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 23815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43604352).

23815680 is an abundant number, since it is smaller than the sum of its proper divisors (63393024).

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

23815680 is an equidigital number, since it uses as much as digits as its factorization.

23815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 23815680 is about 4880.1311457788. The cubic root of 23815680 is about 287.7095837890.

The spelling of 23815680 in words is "twenty-three million, eight hundred fifteen thousand, six hundred eighty".