23687680 has 80 divisors (see below), whose sum is σ = 59906880. Its totient is φ = 8957952.

The previous prime is 23687669. The next prime is 23687683. The reversal of 23687680 is 8678632.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23687680² = 1122212367564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (23687683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48397 + ... + 48883.

It is an arithmetic number, because the mean of its divisors is an integer number (748836).

Almost surely, 2^23687680 is an apocalyptic number.

23687680 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 23687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29953440).

23687680 is an abundant number, since it is smaller than the sum of its proper divisors (36219200).

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

23687680 is an equidigital number, since it uses as much as digits as its factorization.

23687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 23687680 is about 4866.9990754057. Note that the first 3 decimals coincide. The cubic root of 23687680 is about 287.1932152865.

The spelling of 23687680 in words is "twenty-three million, six hundred eighty-seven thousand, six hundred eighty".