23840640 has 96 divisors (see below), whose sum is σ = 82344600. Its totient is φ = 6355968.

The previous prime is 23840633. The next prime is 23840651. The reversal of 23840640 is 4604832.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×23840640² = 1136752231219200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3691 + ... + 7829.

Almost surely, 2^23840640 is an apocalyptic number.

23840640 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 23840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41172300).

23840640 is an abundant number, since it is smaller than the sum of its proper divisors (58503960).

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

23840640 is a wasteful number, since it uses less digits than its factorization.

23840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4149 counting only the distinct ones).

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

The square root of 23840640 is about 4882.6877844073. The cubic root of 23840640 is about 287.8100599446.

The spelling of 23840640 in words is "twenty-three million, eight hundred forty thousand, six hundred forty".