120858768 has 60 divisors (see below), whose sum is σ = 340178748. Its totient is φ = 40055040.

The previous prime is 120858743. The next prime is 120858769. The reversal of 120858768 is 867858021.

120858768 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 587 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11614464 + 109244304 = 3408^2 + 10452^2 .

It is not an unprimeable number, because it can be changed into a prime (120858769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23746 + ... + 28382.

Almost surely, 2^120858768 is an apocalyptic number.

120858768 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 120858768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170089374).

120858768 is an abundant number, since it is smaller than the sum of its proper divisors (219319980).

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

120858768 is a wasteful number, since it uses less digits than its factorization.

120858768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 120858768 is about 10993.5784892818. The cubic root of 120858768 is about 494.4162325396.

The spelling of 120858768 in words is "one hundred twenty million, eight hundred fifty-eight thousand, seven hundred sixty-eight".