64115688 has 128 divisors (see below), whose sum is σ = 203857920. Its totient is φ = 16346880.

The previous prime is 64115683. The next prime is 64115707. The reversal of 64115688 is 88651146.

It is a super-2 number, since 2×64115688² = 8221642895426688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (64115683) 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, 67231 + ... + 68177.

It is an arithmetic number, because the mean of its divisors is an integer number (1592640).

Almost surely, 2^64115688 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 64115688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101928960).

64115688 is an abundant number, since it is smaller than the sum of its proper divisors (139742232).

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

64115688 is a wasteful number, since it uses less digits than its factorization.

With its successor (64115689) it forms an eRAP, since the sums of their prime factors are consecutive (1007 and 1008).

64115688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1003 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The square root of 64115688 is about 8007.2272354417. The cubic root of 64115688 is about 400.2408715897.

The spelling of 64115688 in words is "sixty-four million, one hundred fifteen thousand, six hundred eighty-eight".