85679360 has 144 divisors (see below), whose sum is σ = 233506560. Its totient is φ = 29859840.

The previous prime is 85679357. The next prime is 85679413. The reversal of 85679360 is 6397658.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316025 + ... + 316295.

Almost surely, 2^85679360 is an apocalyptic number.

85679360 is a gapful number since it is divisible by the number (80) 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 85679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116753280).

85679360 is an abundant number, since it is smaller than the sum of its proper divisors (147827200).

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

85679360 is a wasteful number, since it uses less digits than its factorization.

85679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 85679360 is about 9256.3146013951. The cubic root of 85679360 is about 440.8512446421.

The spelling of 85679360 in words is "eighty-five million, six hundred seventy-nine thousand, three hundred sixty".