313927920 has 320 divisors, whose sum is σ = 1157068800. Its totient is φ = 78059520.

The previous prime is 313927883. The next prime is 313927921. The reversal of 313927920 is 29729313.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313927921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3527236 + ... + 3527324.

It is an arithmetic number, because the mean of its divisors is an integer number (3615840).

Almost surely, 2^313927920 is an apocalyptic number.

313927920 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 313927920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578534400).

313927920 is an abundant number, since it is smaller than the sum of its proper divisors (843140880).

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

313927920 is a wasteful number, since it uses less digits than its factorization.

313927920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 313927920 is about 17718.0111750727. The cubic root of 313927920 is about 679.6364261741.

The spelling of 313927920 in words is "three hundred thirteen million, nine hundred twenty-seven thousand, nine hundred twenty".