120264580 has 24 divisors (see below), whose sum is σ = 256018392. Its totient is φ = 47446272.

The previous prime is 120264563. The next prime is 120264637. The reversal of 120264580 is 85462021.

It can be written as a sum of positive squares in 4 ways, for example, as 54848836 + 65415744 = 7406^2 + 8088^2 .

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 7 ways as a sum of consecutive naturals, for example, 39727 + ... + 42646.

It is an arithmetic number, because the mean of its divisors is an integer number (10667433).

Almost surely, 2^120264580 is an apocalyptic number.

120264580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120264580 is an abundant number, since it is smaller than the sum of its proper divisors (135753812).

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

120264580 is a wasteful number, since it uses less digits than its factorization.

120264580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82455 (or 82453 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 120264580 is about 10966.5208703581. The cubic root of 120264580 is about 493.6046545429.

The spelling of 120264580 in words is "one hundred twenty million, two hundred sixty-four thousand, five hundred eighty".