120584720 has 40 divisors (see below), whose sum is σ = 282999744. Its totient is φ = 47779712.

The previous prime is 120584719. The next prime is 120584803. The reversal of 120584720 is 27485021.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1517 + ... + 15603.

Almost surely, 2^120584720 is an apocalyptic number.

120584720 is a gapful number since it is divisible by the number (10) 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 120584720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141499872).

120584720 is an abundant number, since it is smaller than the sum of its proper divisors (162415024).

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

120584720 is a wasteful number, since it uses less digits than its factorization.

120584720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14207 (or 14201 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 120584720 is about 10981.1074122786. The cubic root of 120584720 is about 494.0422524466.

The spelling of 120584720 in words is "one hundred twenty million, five hundred eighty-four thousand, seven hundred twenty".