123642720 has 96 divisors (see below), whose sum is σ = 432764640. Its totient is φ = 32970240.

The previous prime is 123642697. The next prime is 123642763. The reversal of 123642720 is 27246321.

123642720 is a `hidden beast` number, since 1 + 236 + 427 + 2 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9991 + ... + 18630.

It is an arithmetic number, because the mean of its divisors is an integer number (4507965).

Almost surely, 2^123642720 is an apocalyptic number.

123642720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123642720 is an abundant number, since it is smaller than the sum of its proper divisors (309121920).

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

123642720 is a wasteful number, since it uses less digits than its factorization.

123642720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28645 (or 28631 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 123642720 is about 11119.4748077416. The cubic root of 123642720 is about 498.1837034562.

It can be divided in two parts, 1236 and 42720, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 123642720 in words is "one hundred twenty-three million, six hundred forty-two thousand, seven hundred twenty".