315122064 has 80 divisors (see below), whose sum is σ = 883068480. Its totient is φ = 96440320.

The previous prime is 315122063. The next prime is 315122077. The reversal of 315122064 is 460221513.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (315122063) 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, 28747 + ... + 38165.

It is an arithmetic number, because the mean of its divisors is an integer number (11038356).

Almost surely, 2^315122064 is an apocalyptic number.

315122064 is a gapful number since it is divisible by the number (34) 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 315122064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441534240).

315122064 is an abundant number, since it is smaller than the sum of its proper divisors (567946416).

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

315122064 is a wasteful number, since it uses less digits than its factorization.

315122064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9488 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 315122064 is about 17751.6777798607. The cubic root of 315122064 is about 680.4970875154.

Adding to 315122064 its reverse (460221513), we get a palindrome (775343577).

The spelling of 315122064 in words is "three hundred fifteen million, one hundred twenty-two thousand, sixty-four".