120077568 has 216 divisors, whose sum is σ = 394328480. Its totient is φ = 34836480.

The previous prime is 120077537. The next prime is 120077591. The reversal of 120077568 is 865770021.

120077568 is a `hidden beast` number, since 1 + 20 + 0 + 77 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568983 + ... + 569193.

Almost surely, 2^120077568 is an apocalyptic number.

120077568 is a gapful number since it is divisible by the number (18) 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 120077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197164240).

120077568 is an abundant number, since it is smaller than the sum of its proper divisors (274250912).

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

120077568 is a wasteful number, since it uses less digits than its factorization.

120077568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 120077568 is about 10957.9910567585. The cubic root of 120077568 is about 493.3486692741.

The spelling of 120077568 in words is "one hundred twenty million, seventy-seven thousand, five hundred sixty-eight".