64389312 has 84 divisors (see below), whose sum is σ = 198780400. Its totient is φ = 19809792.

The previous prime is 64389289. The next prime is 64389313. The reversal of 64389312 is 21398346.

64389312 is a `hidden beast` number, since 643 + 8 + 9 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (64389313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3189 + ... + 11787.

Almost surely, 2^64389312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64389312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99390200).

64389312 is an abundant number, since it is smaller than the sum of its proper divisors (134391088).

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

64389312 is a wasteful number, since it uses less digits than its factorization.

64389312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8630 (or 8617 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 64389312 is about 8024.2951092292. The cubic root of 64389312 is about 400.8094276291.

It can be divided in two parts, 64 and 389312, that added together give a square (389376 = 624²).

The spelling of 64389312 in words is "sixty-four million, three hundred eighty-nine thousand, three hundred twelve".