120825664 has 28 divisors (see below), whose sum is σ = 253869444. Its totient is φ = 56858624.

The previous prime is 120825587. The next prime is 120825697. The reversal of 120825664 is 466528021.

It can be written as a sum of positive squares in 2 ways, for example, as 93702400 + 27123264 = 9680^2 + 5208^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54439 + ... + 56614.

Almost surely, 2^120825664 is an apocalyptic number.

It is an amenable number.

120825664 is an abundant number, since it is smaller than the sum of its proper divisors (133043780).

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

120825664 is a wasteful number, since it uses less digits than its factorization.

120825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111082 (or 111072 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 120825664 is about 10992.0727799628. The cubic root of 120825664 is about 494.3710871471.

The spelling of 120825664 in words is "one hundred twenty million, eight hundred twenty-five thousand, six hundred sixty-four".