23648040 has 192 divisors, whose sum is σ = 85962240. Its totient is φ = 5598720.

The previous prime is 23648011. The next prime is 23648063. The reversal of 23648040 is 4084632.

It is a junction number, because it is equal to n+sod(n) for n = 23647995 and 23648013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144999 + ... + 145161.

It is an arithmetic number, because the mean of its divisors is an integer number (447720).

Almost surely, 2^23648040 is an apocalyptic number.

23648040 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 23648040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42981120).

23648040 is an abundant number, since it is smaller than the sum of its proper divisors (62314200).

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

23648040 is a wasteful number, since it uses less digits than its factorization.

23648040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 23648040 is about 4862.9250456901. The cubic root of 23648040 is about 287.0329252776.

It can be divided in two parts, 2364 and 8040, that added together give a square (10404 = 102²).

The spelling of 23648040 in words is "twenty-three million, six hundred forty-eight thousand, forty".