64383120 has 160 divisors (see below), whose sum is σ = 227485440. Its totient is φ = 16727040.

The previous prime is 64383113. The next prime is 64383133. The reversal of 64383120 is 2138346.

It is a happy number.

64383120 is a `hidden beast` number, since 643 + 8 + 3 + 12 + 0 = 666.

It is a super-2 number, since 2×64383120² = 8290372281868800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88197 + ... + 88923.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^64383120 is an apocalyptic number.

64383120 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 64383120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

64383120 is an abundant number, since it is smaller than the sum of its proper divisors (163102320).

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

64383120 is a wasteful number, since it uses less digits than its factorization.

64383120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64383120 is about 8023.9092716705. The cubic root of 64383120 is about 400.7965792673.

The spelling of 64383120 in words is "sixty-four million, three hundred eighty-three thousand, one hundred twenty".