315981120 has 224 divisors, whose sum is σ = 1235098368. Its totient is φ = 66650112.

The previous prime is 315981101. The next prime is 315981143. The reversal of 315981120 is 21189513.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85552 + ... + 89168.

It is an arithmetic number, because the mean of its divisors is an integer number (5513832).

Almost surely, 2^315981120 is an apocalyptic number.

315981120 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 315981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617549184).

315981120 is an abundant number, since it is smaller than the sum of its proper divisors (919117248).

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

315981120 is a wasteful number, since it uses less digits than its factorization.

315981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3647 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 315981120 is about 17775.8577852097. The cubic root of 315981120 is about 681.1148954087.

The spelling of 315981120 in words is "three hundred fifteen million, nine hundred eighty-one thousand, one hundred twenty".