64131312 has 160 divisors (see below), whose sum is σ = 201129984. Its totient is φ = 17222400.

The previous prime is 64131311. The next prime is 64131329. The reversal of 64131312 is 21313146.

It is a super-2 number, since 2×64131312² = 8225650357682688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64131311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489487 + ... + 489617.

Almost surely, 2^64131312 is an apocalyptic number.

64131312 is a gapful number since it is divisible by the number (62) 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 64131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100564992).

64131312 is an abundant number, since it is smaller than the sum of its proper divisors (136998672).

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

64131312 is a wasteful number, since it uses less digits than its factorization.

64131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

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

The square root of 64131312 is about 8008.2027946350. The cubic root of 64131312 is about 400.2733797828.

Adding to 64131312 its reverse (21313146), we get a palindrome (85444458).

The spelling of 64131312 in words is "sixty-four million, one hundred thirty-one thousand, three hundred twelve".