123552960 has 112 divisors (see below), whose sum is σ = 395020800. Its totient is φ = 32717824.

The previous prime is 123552943. The next prime is 123552971. The reversal of 123552960 is 69255321.

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, 171481 + ... + 172199.

Almost surely, 2^123552960 is an apocalyptic number.

123552960 is a gapful number since it is divisible by the number (10) 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 123552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197510400).

123552960 is an abundant number, since it is smaller than the sum of its proper divisors (271467840).

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

123552960 is a wasteful number, since it uses less digits than its factorization.

123552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 123552960 is about 11115.4379131009. The cubic root of 123552960 is about 498.0631200135.

The spelling of 123552960 in words is "one hundred twenty-three million, five hundred fifty-two thousand, nine hundred sixty".