64086768 has 80 divisors (see below), whose sum is σ = 185776800. Its totient is φ = 21150720.

The previous prime is 64086761. The next prime is 64086769. The reversal of 64086768 is 86768046.

It is a happy number.

It is a super-2 number, since 2×64086768² = 8214227665371648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64086761) 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, 46408 + ... + 47768.

It is an arithmetic number, because the mean of its divisors is an integer number (2322210).

Almost surely, 2^64086768 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 64086768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92888400).

64086768 is an abundant number, since it is smaller than the sum of its proper divisors (121690032).

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

64086768 is a wasteful number, since it uses less digits than its factorization.

64086768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 64086768 is about 8005.4211631869. The cubic root of 64086768 is about 400.1806850367.

The spelling of 64086768 in words is "sixty-four million, eighty-six thousand, seven hundred sixty-eight".