85868820 has 72 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 22572480.

The previous prime is 85868773. The next prime is 85868873. The reversal of 85868820 is 2886858.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9421 + ... + 16139.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^85868820 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 85868820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

85868820 is an abundant number, since it is smaller than the sum of its proper divisors (178307820).

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

85868820 is a wasteful number, since it uses less digits than its factorization.

85868820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6805 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 85868820 is about 9266.5430447390. The cubic root of 85868820 is about 441.1759521249.

The spelling of 85868820 in words is "eighty-five million, eight hundred sixty-eight thousand, eight hundred twenty".