120605580 has 36 divisors (see below), whose sum is σ = 365837472. Its totient is φ = 32161440.

The previous prime is 120605501. The next prime is 120605609. The reversal of 120605580 is 85506021.

120605580 is a `hidden beast` number, since 1 + 2 + 0 + 605 + 58 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×120605580³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334836 + ... + 335195.

It is an arithmetic number, because the mean of its divisors is an integer number (10162152).

Almost surely, 2^120605580 is an apocalyptic number.

120605580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120605580 is an abundant number, since it is smaller than the sum of its proper divisors (245231892).

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

120605580 is a wasteful number, since it uses less digits than its factorization.

120605580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670046 (or 670041 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 120605580 is about 10982.0571843348. The cubic root of 120605580 is about 494.0707389944.

The spelling of 120605580 in words is "one hundred twenty million, six hundred five thousand, five hundred eighty".