316088820 has 144 divisors (see below), whose sum is σ = 1034888400. Its totient is φ = 77795328.

The previous prime is 316088797. The next prime is 316088821. The reversal of 316088820 is 28880613.

It can be written as a sum of positive squares in 8 ways, for example, as 38266596 + 277822224 = 6186^2 + 16668^2 .

It is a super-3 number, since 3×316088820³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316088821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161206 + ... + 163154.

It is an arithmetic number, because the mean of its divisors is an integer number (7186725).

Almost surely, 2^316088820 is an apocalyptic number.

316088820 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 316088820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517444200).

316088820 is an abundant number, since it is smaller than the sum of its proper divisors (718799580).

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

316088820 is a wasteful number, since it uses less digits than its factorization.

316088820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 316088820 is about 17778.8869167898. The cubic root of 316088820 is about 681.1922710670.

The spelling of 316088820 in words is "three hundred sixteen million, eighty-eight thousand, eight hundred twenty".