85919500 has 48 divisors (see below), whose sum is σ = 188723808. Its totient is φ = 34171200.

The previous prime is 85919459. The next prime is 85919503. The reversal of 85919500 is 591958.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 85919500.

It is not an unprimeable number, because it can be changed into a prime (85919503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113122 + ... + 113878.

It is an arithmetic number, because the mean of its divisors is an integer number (3931746).

Almost surely, 2^85919500 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 85919500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94361904).

85919500 is an abundant number, since it is smaller than the sum of its proper divisors (102804308).

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

85919500 is a wasteful number, since it uses less digits than its factorization.

85919500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 37.

The square root of 85919500 is about 9269.2772102252. The cubic root of 85919500 is about 441.2627294516.

The spelling of 85919500 in words is "eighty-five million, nine hundred nineteen thousand, five hundred".