85638500 has 48 divisors (see below), whose sum is σ = 190270080. Its totient is φ = 33663200.

The previous prime is 85638481. The next prime is 85638517. The reversal of 85638500 is 583658.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28049 + ... + 30951.

It is an arithmetic number, because the mean of its divisors is an integer number (3963960).

Almost surely, 2^85638500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85638500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95135040).

85638500 is an abundant number, since it is smaller than the sum of its proper divisors (104631580).

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

85638500 is a wasteful number, since it uses less digits than its factorization.

85638500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 85638500 is about 9254.1071962670. The cubic root of 85638500 is about 440.7811536810.

The spelling of 85638500 in words is "eighty-five million, six hundred thirty-eight thousand, five hundred".