64117312 has 56 divisors (see below), whose sum is σ = 146450304. Its totient is φ = 27282432.

The previous prime is 64117297. The next prime is 64117321. The reversal of 64117312 is 21371146.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×64117312² = 8222059396210688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74388 + ... + 75244.

It is an arithmetic number, because the mean of its divisors is an integer number (2615184).

Almost surely, 2^64117312 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 64117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73225152).

64117312 is an abundant number, since it is smaller than the sum of its proper divisors (82332992).

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

64117312 is a wasteful number, since it uses less digits than its factorization.

64117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1033 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 64117312 is about 8007.3286431868. The cubic root of 64117312 is about 400.2442508235.

Adding to 64117312 its reverse (21371146), we get a palindrome (85488458).

The spelling of 64117312 in words is "sixty-four million, one hundred seventeen thousand, three hundred twelve".