120852576 has 144 divisors (see below), whose sum is σ = 374250240. Its totient is φ = 36990720.

The previous prime is 120852569. The next prime is 120852587. The reversal of 120852576 is 675258021.

It is a happy number.

120852576 is a `hidden beast` number, since 1 + 2 + 0 + 85 + 2 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 120852576.

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, 632641 + ... + 632831.

It is an arithmetic number, because the mean of its divisors is an integer number (2598960).

Almost surely, 2^120852576 is an apocalyptic number.

120852576 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 120852576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

120852576 is an abundant number, since it is smaller than the sum of its proper divisors (253397664).

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

120852576 is a wasteful number, since it uses less digits than its factorization.

120852576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 120852576 is about 10993.2968667275. The cubic root of 120852576 is about 494.4077888615.

The spelling of 120852576 in words is "one hundred twenty million, eight hundred fifty-two thousand, five hundred seventy-six".