313233760 has 96 divisors (see below), whose sum is σ = 851860800. Its totient is φ = 106616832.

The previous prime is 313233751. The next prime is 313233769. The reversal of 313233760 is 67332313.

It is an interprime number because it is at equal distance from previous prime (313233751) and next prime (313233769).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313233769) 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, 165942 + ... + 167818.

It is an arithmetic number, because the mean of its divisors is an integer number (8873550).

Almost surely, 2^313233760 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 313233760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425930400).

313233760 is an abundant number, since it is smaller than the sum of its proper divisors (538627040).

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

313233760 is a wasteful number, since it uses less digits than its factorization.

313233760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 28.

The square root of 313233760 is about 17698.4112281301. The cubic root of 313233760 is about 679.1351172735.

The spelling of 313233760 in words is "three hundred thirteen million, two hundred thirty-three thousand, seven hundred sixty".