64115712 has 110 divisors (see below), whose sum is σ = 191709738. Its totient is φ = 21344256.

The previous prime is 64115707. The next prime is 64115741. The reversal of 64115712 is 21751146.

It is a happy number.

64115712 is a `hidden beast` number, since 641 + 1 + 5 + 7 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 23970816 = 6336^2 + 4896^2 .

It is a super-2 number, since 2×64115712² = 8221649050533888, 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 9 ways as a sum of consecutive naturals, for example, 82558 + ... + 83330.

Almost surely, 2^64115712 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 64115712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95854869).

64115712 is an abundant number, since it is smaller than the sum of its proper divisors (127594026).

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

64115712 is an equidigital number, since it uses as much as digits as its factorization.

64115712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 778 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 64115712 is about 8007.2287340877. The cubic root of 64115712 is about 400.2409215296.

Adding to 64115712 its reverse (21751146), we get a palindrome (85866858).

The spelling of 64115712 in words is "sixty-four million, one hundred fifteen thousand, seven hundred twelve".