64315328 has 112 divisors (see below), whose sum is σ = 164640768. Its totient is φ = 24192000.

The previous prime is 64315327. The next prime is 64315351. The reversal of 64315328 is 82351346.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×64315328² = 8272922831495168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 64315294 and 64315303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64315327) 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, 152558 + ... + 152978.

Almost surely, 2^64315328 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 64315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82320384).

64315328 is an abundant number, since it is smaller than the sum of its proper divisors (100325440).

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

64315328 is a wasteful number, since it uses less digits than its factorization.

64315328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 64315328 is about 8019.6837842898. The cubic root of 64315328 is about 400.6558573734.

The spelling of 64315328 in words is "sixty-four million, three hundred fifteen thousand, three hundred twenty-eight".