23753640 has 32 divisors (see below), whose sum is σ = 71261280. Its totient is φ = 6334272.

The previous prime is 23753633. The next prime is 23753647. The reversal of 23753640 is 4635732.

It is an interprime number because it is at equal distance from previous prime (23753633) and next prime (23753647).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23753598 and 23753607.

It is not an unprimeable number, because it can be changed into a prime (23753647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98854 + ... + 99093.

It is an arithmetic number, because the mean of its divisors is an integer number (2226915).

Almost surely, 2^23753640 is an apocalyptic number.

23753640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23753640 is an abundant number, since it is smaller than the sum of its proper divisors (47507640).

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

23753640 is a wasteful number, since it uses less digits than its factorization.

23753640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197961 (or 197957 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 23753640 is about 4873.7706142165. The cubic root of 23753640 is about 287.4595380991.

The spelling of 23753640 in words is "twenty-three million, seven hundred fifty-three thousand, six hundred forty".