85079360 has 28 divisors (see below), whose sum is σ = 202595988. Its totient is φ = 34031616.

The previous prime is 85079341. The next prime is 85079381. The reversal of 85079360 is 6397058.

It can be written as a sum of positive squares in 2 ways, for example, as 60715264 + 24364096 = 7792^2 + 4936^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132617 + ... + 133256.

It is an arithmetic number, because the mean of its divisors is an integer number (7235571).

Almost surely, 2^85079360 is an apocalyptic number.

85079360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85079360 is an abundant number, since it is smaller than the sum of its proper divisors (117516628).

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

85079360 is a wasteful number, since it uses less digits than its factorization.

85079360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265890 (or 265880 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 85079360 is about 9223.8473534637. The cubic root of 85079360 is about 439.8197608887.

The spelling of 85079360 in words is "eighty-five million, seventy-nine thousand, three hundred sixty".