315601920 has 220 divisors, whose sum is σ = 1132424964. Its totient is φ = 84049920.

The previous prime is 315601907. The next prime is 315601931. The reversal of 315601920 is 29106513.

315601920 is a `hidden beast` number, since 31 + 5 + 601 + 9 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 279023616 = 6048^2 + 16704^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414340 + ... + 415100.

Almost surely, 2^315601920 is an apocalyptic number.

315601920 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 315601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566212482).

315601920 is an abundant number, since it is smaller than the sum of its proper divisors (816823044).

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

315601920 is an equidigital number, since it uses as much as digits as its factorization.

315601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 315601920 is about 17765.1884313114. The cubic root of 315601920 is about 680.8423241077.

The spelling of 315601920 in words is "three hundred fifteen million, six hundred one thousand, nine hundred twenty".