85819504 has 40 divisors (see below), whose sum is σ = 176037840. Its totient is φ = 40416768.

The previous prime is 85819499. The next prime is 85819511. The reversal of 85819504 is 40591858.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59172 + ... + 60604.

It is an arithmetic number, because the mean of its divisors is an integer number (4400946).

Almost surely, 2^85819504 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 85819504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88018920).

85819504 is an abundant number, since it is smaller than the sum of its proper divisors (90218336).

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

85819504 is a wasteful number, since it uses less digits than its factorization.

85819504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 40.

The square root of 85819504 is about 9263.8816918180. The cubic root of 85819504 is about 441.0914775363.

The spelling of 85819504 in words is "eighty-five million, eight hundred nineteen thousand, five hundred four".