23503680 has 84 divisors (see below), whose sum is σ = 80852772. Its totient is φ = 6266880.

The previous prime is 23503657. The next prime is 23503687. The reversal of 23503680 is 8630532.

It can be written as a sum of positive squares in 2 ways, for example, as 8573184 + 14930496 = 2928^2 + 3864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23503687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1201 + ... + 6960.

It is an arithmetic number, because the mean of its divisors is an integer number (962533).

Almost surely, 2^23503680 is an apocalyptic number.

23503680 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 23503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40426386).

23503680 is an abundant number, since it is smaller than the sum of its proper divisors (57349092).

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

23503680 is a wasteful number, since it uses less digits than its factorization.

23503680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8184 (or 8171 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23503680 is about 4848.0594055766. The cubic root of 23503680 is about 286.4476664002.

The spelling of 23503680 in words is "twenty-three million, five hundred three thousand, six hundred eighty".