120270864 has 160 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 32288256.

The previous prime is 120270823. The next prime is 120270877. The reversal of 120270864 is 468072021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610414 + ... + 610610.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2^120270864 is an apocalyptic number.

120270864 is a gapful number since it is divisible by the number (14) 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 120270864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

120270864 is an abundant number, since it is smaller than the sum of its proper divisors (256847856).

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

120270864 is a wasteful number, since it uses less digits than its factorization.

120270864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 120270864 is about 10966.8073749838. The cubic root of 120270864 is about 493.6132515813.

The spelling of 120270864 in words is "one hundred twenty million, two hundred seventy thousand, eight hundred sixty-four".