120276576 has 180 divisors, whose sum is σ = 411916428. Its totient is φ = 34328448.

The previous prime is 120276553. The next prime is 120276587. The reversal of 120276576 is 675672021.

120276576 is a `hidden beast` number, since 12 + 0 + 2 + 76 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120276576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126535 + ... + 127481.

Almost surely, 2^120276576 is an apocalyptic number.

120276576 is a gapful number since it is divisible by the number (16) 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 120276576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205958214).

120276576 is an abundant number, since it is smaller than the sum of its proper divisors (291639852).

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

120276576 is an equidigital number, since it uses as much as digits as its factorization.

120276576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 120276576 is about 10967.0677940824. The cubic root of 120276576 is about 493.6210658159.

The spelling of 120276576 in words is "one hundred twenty million, two hundred seventy-six thousand, five hundred seventy-six".