64785312 has 96 divisors (see below), whose sum is σ = 190512000. Its totient is φ = 21417984.

The previous prime is 64785311. The next prime is 64785313. The reversal of 64785312 is 21358746.

64785312 is a `hidden beast` number, since 647 + 8 + 5 + 3 + 1 + 2 = 666.

64785312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64785311) and next prime (64785313).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64785311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144064 + ... + 144512.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 2^64785312 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 64785312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256000).

64785312 is an abundant number, since it is smaller than the sum of its proper divisors (125726688).

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

64785312 is a wasteful number, since it uses less digits than its factorization.

64785312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 621 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 64785312 is about 8048.9323515607. The cubic root of 64785312 is about 401.6294201290.

The spelling of 64785312 in words is "sixty-four million, seven hundred eighty-five thousand, three hundred twelve".