120591792 has 60 divisors (see below), whose sum is σ = 340522104. Its totient is φ = 39836160.

The previous prime is 120591791. The next prime is 120591827. The reversal of 120591792 is 297195021.

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

It is not an unprimeable number, because it can be changed into a prime (120591791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12567 + ... + 19977.

Almost surely, 2^120591792 is an apocalyptic number.

120591792 is a gapful number since it is divisible by the number (12) 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 120591792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170261052).

120591792 is an abundant number, since it is smaller than the sum of its proper divisors (219930312).

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

120591792 is a wasteful number, since it uses less digits than its factorization.

120591792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538 (or 7529 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 120591792 is about 10981.4294151536. The cubic root of 120591792 is about 494.0519103825.

The spelling of 120591792 in words is "one hundred twenty million, five hundred ninety-one thousand, seven hundred ninety-two".