23813640 has 96 divisors (see below), whose sum is σ = 80098200. Its totient is φ = 6128640.

The previous prime is 23813633. The next prime is 23813653. The reversal of 23813640 is 4631832.

It is a happy number.

23813640 is a `hidden beast` number, since 2 + 3 + 8 + 13 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20196036 + 3617604 = 4494^2 + 1902^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9300 + ... + 11580.

Almost surely, 2^23813640 is an apocalyptic number.

23813640 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 23813640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40049100).

23813640 is an abundant number, since it is smaller than the sum of its proper divisors (56284560).

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

23813640 is a wasteful number, since it uses less digits than its factorization.

23813640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2327 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23813640 is about 4879.9221305263. The cubic root of 23813640 is about 287.7013686927.

The spelling of 23813640 in words is "twenty-three million, eight hundred thirteen thousand, six hundred forty".