85637600 has 72 divisors (see below), whose sum is σ = 210642768. Its totient is φ = 33996800.

The previous prime is 85637581. The next prime is 85637621. The reversal of 85637600 is 673658.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133280 + ... + 133920.

It is an arithmetic number, because the mean of its divisors is an integer number (2925594).

Almost surely, 2^85637600 is an apocalyptic number.

85637600 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 85637600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105321384).

85637600 is an abundant number, since it is smaller than the sum of its proper divisors (125005168).

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

85637600 is a wasteful number, since it uses less digits than its factorization.

85637600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 85637600 is about 9254.0585690820. The cubic root of 85637600 is about 440.7796095763.

The spelling of 85637600 in words is "eighty-five million, six hundred thirty-seven thousand, six hundred".