64681008 has 80 divisors (see below), whose sum is σ = 192297216. Its totient is φ = 18351360.

The previous prime is 64681007. The next prime is 64681021. The reversal of 64681008 is 80018646.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 64681008.

It is not an unprimeable number, because it can be changed into a prime (64681003) 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, 54178 + ... + 55358.

Almost surely, 2^64681008 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 64681008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96148608).

64681008 is an abundant number, since it is smaller than the sum of its proper divisors (127616208).

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

64681008 is a wasteful number, since it uses less digits than its factorization.

64681008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 64681008 is about 8042.4503728652. The cubic root of 64681008 is about 401.4137639584.

The spelling of 64681008 in words is "sixty-four million, six hundred eighty-one thousand, eight".