120576960 has 168 divisors, whose sum is σ = 474061536. Its totient is φ = 27555840.

The previous prime is 120576959. The next prime is 120576977. The reversal of 120576960 is 69675021.

120576960 is a `hidden beast` number, since 1 + 20 + 576 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17170 + ... + 23150.

Almost surely, 2^120576960 is an apocalyptic number.

120576960 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 120576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237030768).

120576960 is an abundant number, since it is smaller than the sum of its proper divisors (353484576).

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

120576960 is a wasteful number, since it uses less digits than its factorization.

120576960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6011 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 120576960 is about 10980.7540724670. The cubic root of 120576960 is about 494.0316545032.

The spelling of 120576960 in words is "one hundred twenty million, five hundred seventy-six thousand, nine hundred sixty".