85674500 has 72 divisors (see below), whose sum is σ = 193836552. Its totient is φ = 33072000.

The previous prime is 85674469. The next prime is 85674503. The reversal of 85674500 is 547658.

It can be written as a sum of positive squares in 12 ways, for example, as 66031876 + 19642624 = 8126^2 + 4432^2 .

It is not an unprimeable number, because it can be changed into a prime (85674503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1404470 + ... + 1404530.

Almost surely, 2^85674500 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 85674500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96918276).

85674500 is an abundant number, since it is smaller than the sum of its proper divisors (108162052).

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

85674500 is a wasteful number, since it uses less digits than its factorization.

85674500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 85674500 is about 9256.0520741837. The cubic root of 85674500 is about 440.8429089996.

The spelling of 85674500 in words is "eighty-five million, six hundred seventy-four thousand, five hundred".