318657690 has 192 divisors, whose sum is σ = 972500256. Its totient is φ = 71663616.

The previous prime is 318657679. The next prime is 318657701. The reversal of 318657690 is 96756813.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (318657679) and next prime (318657701).

It can be written as a sum of positive squares in 16 ways, for example, as 24295041 + 294362649 = 4929^2 + 17157^2 .

It is a super-2 number, since 2×318657690² = 203085446792272200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 735714 + ... + 736146.

Almost surely, 2^318657690 is an apocalyptic number.

318657690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 318657690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486250128).

318657690 is an abundant number, since it is smaller than the sum of its proper divisors (653842566).

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

318657690 is a wasteful number, since it uses less digits than its factorization.

318657690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 318657690 is about 17850.9856870706. The cubic root of 318657690 is about 683.0326558718.

The spelling of 318657690 in words is "three hundred eighteen million, six hundred fifty-seven thousand, six hundred ninety".