120634956 has 72 divisors (see below), whose sum is σ = 336458304. Its totient is φ = 36207360.

The previous prime is 120634951. The next prime is 120634979. The reversal of 120634956 is 659436021.

It is a happy number.

120634956 is a `hidden beast` number, since 12 + 0 + 634 + 9 + 5 + 6 = 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 120634956.

It is not an unprimeable number, because it can be changed into a prime (120634951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16045 + ... + 22331.

It is an arithmetic number, because the mean of its divisors is an integer number (4673032).

Almost surely, 2^120634956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120634956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168229152).

120634956 is an abundant number, since it is smaller than the sum of its proper divisors (215823348).

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

120634956 is a wasteful number, since it uses less digits than its factorization.

120634956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 120634956 is about 10983.3945572396. The cubic root of 120634956 is about 494.1108494763.

The spelling of 120634956 in words is "one hundred twenty million, six hundred thirty-four thousand, nine hundred fifty-six".