64986768 has 120 divisors (see below), whose sum is σ = 226789056. Its totient is φ = 16876800.

The previous prime is 64986749. The next prime is 64986769. The reversal of 64986768 is 86768946.

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

It is not an unprimeable number, because it can be changed into a prime (64986769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8158 + ... + 14018.

Almost surely, 2^64986768 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 64986768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113394528).

64986768 is an abundant number, since it is smaller than the sum of its proper divisors (161802288).

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

64986768 is a wasteful number, since it uses less digits than its factorization.

64986768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5893 (or 5884 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 64986768 is about 8061.4370927273. The cubic root of 64986768 is about 402.0452908057.

The spelling of 64986768 in words is "sixty-four million, nine hundred eighty-six thousand, seven hundred sixty-eight".