120084064 has 24 divisors (see below), whose sum is σ = 237096720. Its totient is φ = 59869056.

The previous prime is 120084043. The next prime is 120084071. The reversal of 120084064 is 460480021.

It is a super-3 number, since 3×120084064³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6262 + ... + 16714.

It is an arithmetic number, because the mean of its divisors is an integer number (9879030).

Almost surely, 2^120084064 is an apocalyptic number.

It is an amenable number.

120084064 is a deficient number, since it is larger than the sum of its proper divisors (117012656).

120084064 is a wasteful number, since it uses less digits than its factorization.

120084064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10822 (or 10814 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 120084064 is about 10958.2874574452. The cubic root of 120084064 is about 493.3575655657.

It can be divided in two parts, 1200 and 84064, that added together give a square (85264 = 292²).

The spelling of 120084064 in words is "one hundred twenty million, eighty-four thousand, sixty-four".