316629040 has 320 divisors, whose sum is σ = 991936512. Its totient is φ = 91238400.

The previous prime is 316629011. The next prime is 316629043. The reversal of 316629040 is 40926613.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 316628993 and 316629011.

It is not an unprimeable number, because it can be changed into a prime (316629043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5190610 + ... + 5190670.

Almost surely, 2^316629040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316629040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495968256).

316629040 is an abundant number, since it is smaller than the sum of its proper divisors (675307472).

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

316629040 is a wasteful number, since it uses less digits than its factorization.

316629040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 316629040 is about 17794.0731705813. The cubic root of 316629040 is about 681.5801201157.

The spelling of 316629040 in words is "three hundred sixteen million, six hundred twenty-nine thousand, forty".