23680640 has 64 divisors (see below), whose sum is σ = 57209760. Its totient is φ = 9372672.

The previous prime is 23680637. The next prime is 23680649. The reversal of 23680640 is 4608632.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (23680649) 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, 104207 + ... + 104433.

Almost surely, 2^23680640 is an apocalyptic number.

23680640 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 23680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28604880).

23680640 is an abundant number, since it is smaller than the sum of its proper divisors (33529120).

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

23680640 is a wasteful number, since it uses less digits than its factorization.

23680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 23680640 is about 4866.2757833892. The cubic root of 23680640 is about 287.1647611060.

The spelling of 23680640 in words is "twenty-three million, six hundred eighty thousand, six hundred forty".