64311312 has 80 divisors (see below), whose sum is σ = 186738048. Its totient is φ = 18923520.

The previous prime is 64311307. The next prime is 64311319. The reversal of 64311312 is 21311346.

It is a super-2 number, since 2×64311312² = 8271889702322688, which contains 22 as substring.

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 (64311319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12112 + ... + 16592.

Almost surely, 2^64311312 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 64311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93369024).

64311312 is an abundant number, since it is smaller than the sum of its proper divisors (122426736).

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

64311312 is a wasteful number, since it uses less digits than its factorization.

64311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4528 (or 4522 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 64311312 is about 8019.4333964439. The cubic root of 64311312 is about 400.6475179025.

Adding to 64311312 its reverse (21311346), we get a palindrome (85622658).

The spelling of 64311312 in words is "sixty-four million, three hundred eleven thousand, three hundred twelve".