120507360 has 48 divisors (see below), whose sum is σ = 379599696. Its totient is φ = 32135168.

The previous prime is 120507353. The next prime is 120507437. The reversal of 120507360 is 63705021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 120507360.

It is a congruent number.

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, 125049 + ... + 126008.

It is an arithmetic number, because the mean of its divisors is an integer number (7908327).

Almost surely, 2^120507360 is an apocalyptic number.

120507360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120507360 is an abundant number, since it is smaller than the sum of its proper divisors (259092336).

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

120507360 is a wasteful number, since it uses less digits than its factorization.

120507360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251075 (or 251067 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 120507360 is about 10977.5844337450. The cubic root of 120507360 is about 493.9365804493.

The spelling of 120507360 in words is "one hundred twenty million, five hundred seven thousand, three hundred sixty".