85774892 has 72 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 33657120.

The previous prime is 85774891. The next prime is 85774903. The reversal of 85774892 is 29847758.

It is a super-2 number, since 2×85774892² = 14714664195223328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85774892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85774891) 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, 115073 + ... + 115815.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2^85774892 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 85774892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

85774892 is an abundant number, since it is smaller than the sum of its proper divisors (104212948).

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

85774892 is a wasteful number, since it uses less digits than its factorization.

85774892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 802 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 50.

The square root of 85774892 is about 9261.4735328672. The cubic root of 85774892 is about 441.0150326613.

The spelling of 85774892 in words is "eighty-five million, seven hundred seventy-four thousand, eight hundred ninety-two".