120161760 has 96 divisors (see below), whose sum is σ = 385015680. Its totient is φ = 31492608.

The previous prime is 120161707. The next prime is 120161771. The reversal of 120161760 is 67161021.

It is a tau number, because it is divible by the number of its divisors (96).

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 120161760.

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, 26199 + ... + 30441.

It is an arithmetic number, because the mean of its divisors is an integer number (4010580).

Almost surely, 2^120161760 is an apocalyptic number.

120161760 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 120161760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192507840).

120161760 is an abundant number, since it is smaller than the sum of its proper divisors (264853920).

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

120161760 is a wasteful number, since it uses less digits than its factorization.

120161760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 120161760 is about 10961.8319636820. The cubic root of 120161760 is about 493.4639456132.

The spelling of 120161760 in words is "one hundred twenty million, one hundred sixty-one thousand, seven hundred sixty".