120766464 has 300 divisors, whose sum is σ = 444058384. Its totient is φ = 31850496.

The previous prime is 120766439. The next prime is 120766501. The reversal of 120766464 is 464667021.

120766464 is a `hidden beast` number, since 1 + 2 + 0 + 7 + 6 + 646 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9289722 + ... + 9289734.

Almost surely, 2^120766464 is an apocalyptic number.

120766464 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 120766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222029192).

120766464 is an abundant number, since it is smaller than the sum of its proper divisors (323291920).

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

120766464 is an frugal number, since it uses more digits than its factorization.

120766464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 120766464 is about 10989.3796003232. The cubic root of 120766464 is about 494.2903329195.

The spelling of 120766464 in words is "one hundred twenty million, seven hundred sixty-six thousand, four hundred sixty-four".