23688120 has 64 divisors (see below), whose sum is σ = 71406720. Its totient is φ = 6286464.

The previous prime is 23688113. The next prime is 23688127. The reversal of 23688120 is 2188632.

It is an interprime number because it is at equal distance from previous prime (23688113) and next prime (23688127).

It is a super-2 number, since 2×23688120² = 1122254058268800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23688127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36519 + ... + 37161.

It is an arithmetic number, because the mean of its divisors is an integer number (1115730).

Almost surely, 2^23688120 is an apocalyptic number.

23688120 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 23688120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35703360).

23688120 is an abundant number, since it is smaller than the sum of its proper divisors (47718600).

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

23688120 is a wasteful number, since it uses less digits than its factorization.

23688120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 23688120 is about 4867.0442775878. The cubic root of 23688120 is about 287.1949934856.

The spelling of 23688120 in words is "twenty-three million, six hundred eighty-eight thousand, one hundred twenty".