120064320 has 168 divisors, whose sum is σ = 422233344. Its totient is φ = 31300608.

The previous prime is 120064309. The next prime is 120064327. The reversal of 120064320 is 23460021.

It is a happy number.

120064320 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 643 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120064293 and 120064302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120064327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134917 + ... + 135803.

Almost surely, 2^120064320 is an apocalyptic number.

120064320 is a gapful number since it is divisible by the number (10) 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 120064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211116672).

120064320 is an abundant number, since it is smaller than the sum of its proper divisors (302169024).

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

120064320 is a wasteful number, since it uses less digits than its factorization.

120064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120064320 is about 10957.3865497207. The cubic root of 120064320 is about 493.3305251037.

The spelling of 120064320 in words is "one hundred twenty million, sixty-four thousand, three hundred twenty".