313220160 has 168 divisors, whose sum is σ = 1175406336. Its totient is φ = 75924480.

The previous prime is 313220147. The next prime is 313220161. The reversal of 313220160 is 61022313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (313220161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26737 + ... + 36623.

Almost surely, 2^313220160 is an apocalyptic number.

313220160 is a gapful number since it is divisible by the number (30) 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 313220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587703168).

313220160 is an abundant number, since it is smaller than the sum of its proper divisors (862186176).

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

313220160 is a wasteful number, since it uses less digits than its factorization.

313220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 313220160 is about 17698.0270086809. The cubic root of 313220160 is about 679.1252882231.

Adding to 313220160 its reverse (61022313), we get a palindrome (374242473).

The spelling of 313220160 in words is "three hundred thirteen million, two hundred twenty thousand, one hundred sixty".