313860096 has 280 divisors, whose sum is σ = 1046677104. Its totient is φ = 92897280.

The previous prime is 313860083. The next prime is 313860097. The reversal of 313860096 is 690068313.

It is a happy number.

It is a super-2 number, since 2×313860096² = 197016319722258432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 313860096.

It is not an unprimeable number, because it can be changed into a prime (313860097) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7299051 + ... + 7299093.

Almost surely, 2^313860096 is an apocalyptic number.

313860096 is a gapful number since it is divisible by the number (36) 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 313860096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523338552).

313860096 is an abundant number, since it is smaller than the sum of its proper divisors (732817008).

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

313860096 is an equidigital number, since it uses as much as digits as its factorization.

313860096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 313860096 is about 17716.0970871126. The cubic root of 313860096 is about 679.5874775906.

The spelling of 313860096 in words is "three hundred thirteen million, eight hundred sixty thousand, ninety-six".