23728640 has 160 divisors (see below), whose sum is σ = 65995776. Its totient is φ = 8110080.

The previous prime is 23728633. The next prime is 23728657. The reversal of 23728640 is 4682732.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23728597 and 23728606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765425 + ... + 765455.

Almost surely, 2^23728640 is an apocalyptic number.

23728640 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 23728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32997888).

23728640 is an abundant number, since it is smaller than the sum of its proper divisors (42267136).

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

23728640 is a wasteful number, since it uses less digits than its factorization.

23728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 23728640 is about 4871.2051896836. The cubic root of 23728640 is about 287.3586551591.

The spelling of 23728640 in words is "twenty-three million, seven hundred twenty-eight thousand, six hundred forty".