85187676 has 72 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 23277408.

The previous prime is 85187671. The next prime is 85187701. The reversal of 85187676 is 67678158.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85187671) 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, 10375 + ... + 16673.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2^85187676 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 85187676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

85187676 is an abundant number, since it is smaller than the sum of its proper divisors (156127524).

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

85187676 is a wasteful number, since it uses less digits than its factorization.

85187676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343 (or 6334 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 85187676 is about 9229.7170054125. The cubic root of 85187676 is about 440.0063291101.

The spelling of 85187676 in words is "eighty-five million, one hundred eighty-seven thousand, six hundred seventy-six".