64329120 has 96 divisors (see below), whose sum is σ = 225167040. Its totient is φ = 17153280.

The previous prime is 64329073. The next prime is 64329131. The reversal of 64329120 is 2192346.

64329120 is a `hidden beast` number, since 643 + 2 + 9 + 12 + 0 = 666.

64329120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3126 + ... + 11765.

It is an arithmetic number, because the mean of its divisors is an integer number (2345490).

Almost surely, 2^64329120 is an apocalyptic number.

64329120 is a gapful number since it is divisible by the number (60) 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 64329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112583520).

64329120 is an abundant number, since it is smaller than the sum of its proper divisors (160837920).

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

64329120 is a wasteful number, since it uses less digits than its factorization.

64329120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14915 (or 14901 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 64329120 is about 8020.5436224735. The cubic root of 64329120 is about 400.6844946662.

The spelling of 64329120 in words is "sixty-four million, three hundred twenty-nine thousand, one hundred twenty".