85679200 has 36 divisors (see below), whose sum is σ = 209166300. Its totient is φ = 34271360.

The previous prime is 85679171. The next prime is 85679203. The reversal of 85679200 is 297658.

It is a self number, because there is not a number n which added to its sum of digits gives 85679200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85679203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52750 + ... + 54349.

It is an arithmetic number, because the mean of its divisors is an integer number (5810175).

Almost surely, 2^85679200 is an apocalyptic number.

85679200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85679200 is an abundant number, since it is smaller than the sum of its proper divisors (123487100).

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

85679200 is a wasteful number, since it uses less digits than its factorization.

85679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107119 (or 107106 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 85679200 is about 9256.3059586425. The cubic root of 85679200 is about 440.8509702227.

The spelling of 85679200 in words is "eighty-five million, six hundred seventy-nine thousand, two hundred".