313650064 has 80 divisors (see below), whose sum is σ = 772172800. Its totient is φ = 120061440.

The previous prime is 313650061. The next prime is 313650083. The reversal of 313650064 is 460056313.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (313650061) 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, 41662 + ... + 48610.

It is an arithmetic number, because the mean of its divisors is an integer number (9652160).

Almost surely, 2^313650064 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 313650064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386086400).

313650064 is an abundant number, since it is smaller than the sum of its proper divisors (458522736).

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

313650064 is a wasteful number, since it uses less digits than its factorization.

313650064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7008 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 313650064 is about 17710.1683786462. The cubic root of 313650064 is about 679.4358527428.

The spelling of 313650064 in words is "three hundred thirteen million, six hundred fifty thousand, sixty-four".