120556064 has 96 divisors (see below), whose sum is σ = 268894080. Its totient is φ = 52918272.

The previous prime is 120556043. The next prime is 120556067. The reversal of 120556064 is 460655021.

It is not an unprimeable number, because it can be changed into a prime (120556067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517292 + ... + 517524.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^120556064 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 120556064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134447040).

120556064 is an abundant number, since it is smaller than the sum of its proper divisors (148338016).

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

120556064 is a wasteful number, since it uses less digits than its factorization.

120556064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 120556064 is about 10979.8025483157. The cubic root of 120556064 is about 494.0031142750.

The spelling of 120556064 in words is "one hundred twenty million, five hundred fifty-six thousand, sixty-four".