120061760 has 336 divisors, whose sum is σ = 389168640. Its totient is φ = 34836480.

The previous prime is 120061759. The next prime is 120061783. The reversal of 120061760 is 67160021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3872945 + ... + 3872975.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 2^120061760 is an apocalyptic number.

120061760 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 120061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

120061760 is an abundant number, since it is smaller than the sum of its proper divisors (269106880).

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

120061760 is a wasteful number, since it uses less digits than its factorization.

120061760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 120061760 is about 10957.2697329216. The cubic root of 120061760 is about 493.3270188300.

The spelling of 120061760 in words is "one hundred twenty million, sixty-one thousand, seven hundred sixty".