65312064 has 84 divisors (see below), whose sum is σ = 188709300. Its totient is φ = 21596160.

The previous prime is 65312053. The next prime is 65312077. The reversal of 65312064 is 46021356.

65312064 is a `hidden beast` number, since 653 + 1 + 2 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2585664 + 62726400 = 1608^2 + 7920^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85444 + ... + 86204.

Almost surely, 2^65312064 is an apocalyptic number.

65312064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94354650).

65312064 is an abundant number, since it is smaller than the sum of its proper divisors (123397236).

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

65312064 is a wasteful number, since it uses less digits than its factorization.

65312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 65312064 is about 8081.5879627707. The cubic root of 65312064 is about 402.7149969522.

The spelling of 65312064 in words is "sixty-five million, three hundred twelve thousand, sixty-four".