120084560 has 80 divisors (see below), whose sum is σ = 296112000. Its totient is φ = 45163008.

The previous prime is 120084557. The next prime is 120084571. The reversal of 120084560 is 65480021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302282 + ... + 302678.

It is an arithmetic number, because the mean of its divisors is an integer number (3701400).

Almost surely, 2^120084560 is an apocalyptic number.

120084560 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 120084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148056000).

120084560 is an abundant number, since it is smaller than the sum of its proper divisors (176027440).

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

120084560 is a wasteful number, since it uses less digits than its factorization.

120084560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 120084560 is about 10958.3100886952. The cubic root of 120084560 is about 493.3582448260.

The spelling of 120084560 in words is "one hundred twenty million, eighty-four thousand, five hundred sixty".