85674200 has 48 divisors (see below), whose sum is σ = 200820480. Its totient is φ = 33989760.

The previous prime is 85674181. The next prime is 85674217. The reversal of 85674200 is 247658.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23714 + ... + 27086.

It is an arithmetic number, because the mean of its divisors is an integer number (4183760).

Almost surely, 2^85674200 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 85674200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100410240).

85674200 is an abundant number, since it is smaller than the sum of its proper divisors (115146280).

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

85674200 is a wasteful number, since it uses less digits than its factorization.

85674200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 85674200 is about 9256.0358685563. The cubic root of 85674200 is about 440.8423944434.

The spelling of 85674200 in words is "eighty-five million, six hundred seventy-four thousand, two hundred".