313981920 has 240 divisors, whose sum is σ = 1266759648. Its totient is φ = 71746560.

The previous prime is 313981903. The next prime is 313981933. The reversal of 313981920 is 29189313.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 88990 + ... + 92450.

Almost surely, 2^313981920 is an apocalyptic number.

313981920 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 313981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633379824).

313981920 is an abundant number, since it is smaller than the sum of its proper divisors (952777728).

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

313981920 is a wasteful number, since it uses less digits than its factorization.

313981920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 313981920 is about 17719.5349826117. The cubic root of 313981920 is about 679.6753929354.

The spelling of 313981920 in words is "three hundred thirteen million, nine hundred eighty-one thousand, nine hundred twenty".