85980312 has 64 divisors (see below), whose sum is σ = 260553600. Its totient is φ = 26053920.

The previous prime is 85980299. The next prime is 85980313. The reversal of 85980312 is 21308958.

It is a super-2 number, since 2×85980312² = 14785228103234688, which contains 22 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 (85980313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15718 + ... + 20469.

It is an arithmetic number, because the mean of its divisors is an integer number (4071150).

Almost surely, 2^85980312 is an apocalyptic number.

It is an amenable number.

85980312 is an abundant number, since it is smaller than the sum of its proper divisors (174573288).

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

85980312 is a wasteful number, since it uses less digits than its factorization.

85980312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36213 (or 36203 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 85980312 is about 9272.5569289166. The cubic root of 85980312 is about 441.3668103674.

The spelling of 85980312 in words is "eighty-five million, nine hundred eighty thousand, three hundred twelve".