120464064 has 224 divisors, whose sum is σ = 423306240. Its totient is φ = 32845824.

The previous prime is 120464039. The next prime is 120464093. The reversal of 120464064 is 460464021.

120464064 is a `hidden beast` number, since 12 + 0 + 4 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 277992 + ... + 278424.

It is an arithmetic number, because the mean of its divisors is an integer number (1889760).

Almost surely, 2^120464064 is an apocalyptic number.

120464064 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 120464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211653120).

120464064 is an abundant number, since it is smaller than the sum of its proper divisors (302842176).

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

120464064 is a wasteful number, since it uses less digits than its factorization.

120464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 120464064 is about 10975.6122380485. The cubic root of 120464064 is about 493.8774193607.

It can be divided in two parts, 12046 and 4064, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 120464064 in words is "one hundred twenty million, four hundred sixty-four thousand, sixty-four".