23647680 has 448 divisors, whose sum is σ = 105338880. Its totient is φ = 4866048.

The previous prime is 23647661. The next prime is 23647681. The reversal of 23647680 is 8674632.

23647680 is a `hidden beast` number, since 2 + 3 + 647 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23647681) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1028149 + ... + 1028171.

Almost surely, 2^23647680 is an apocalyptic number.

23647680 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 23647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52669440).

23647680 is an abundant number, since it is smaller than the sum of its proper divisors (81691200).

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

23647680 is a wasteful number, since it uses less digits than its factorization.

23647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 23647680 is about 4862.8880307899. Note that the first 3 decimals coincide. The cubic root of 23647680 is about 287.0314687457.

The spelling of 23647680 in words is "twenty-three million, six hundred forty-seven thousand, six hundred eighty".