315773640 has 672 divisors, whose sum is σ = 1412986680. Its totient is φ = 62705664.

The previous prime is 315773621. The next prime is 315773659. The reversal of 315773640 is 46377513.

315773640 is a `hidden beast` number, since 3 + 1 + 5 + 7 + 7 + 3 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (315773621) and next prime (315773659).

It can be written as a sum of positive squares in 4 ways, for example, as 240188004 + 75585636 = 15498^2 + 8694^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 315773595 and 315773604.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 18574912 + ... + 18574928.

Almost surely, 2^315773640 is an apocalyptic number.

315773640 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 315773640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706493340).

315773640 is an abundant number, since it is smaller than the sum of its proper divisors (1097213040).

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

315773640 is a wasteful number, since it uses less digits than its factorization.

315773640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 315773640 is about 17770.0208215973. The cubic root of 315773640 is about 680.9657845372.

The spelling of 315773640 in words is "three hundred fifteen million, seven hundred seventy-three thousand, six hundred forty".