309980160 has 396 divisors, whose sum is σ = 1268386704. Its totient is φ = 68567040.

The previous prime is 309980141. The next prime is 309980161. The reversal of 309980160 is 61089903.

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

It is not an unprimeable number, because it can be changed into a prime (309980161) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9999345 + ... + 9999375.

Almost surely, 2^309980160 is an apocalyptic number.

309980160 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 309980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634193352).

309980160 is an abundant number, since it is smaller than the sum of its proper divisors (958406544).

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

309980160 is a wasteful number, since it uses less digits than its factorization.

309980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 309980160 is about 17606.2534345045. The cubic root of 309980160 is about 676.7755067172.

The spelling of 309980160 in words is "three hundred nine million, nine hundred eighty thousand, one hundred sixty".