86825816 has 64 divisors (see below), whose sum is σ = 206496000. Its totient is φ = 33240960.

The previous prime is 86825789. The next prime is 86825831. The reversal of 86825816 is 61852868.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35150 + ... + 37538.

It is an arithmetic number, because the mean of its divisors is an integer number (3226500).

Almost surely, 2^86825816 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 86825816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103248000).

86825816 is an abundant number, since it is smaller than the sum of its proper divisors (119670184).

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

86825816 is a wasteful number, since it uses less digits than its factorization.

86825816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2468 counting only the distinct ones).

The product of its digits is 184320, while the sum is 44.

The square root of 86825816 is about 9318.0371323579. The cubic root of 86825816 is about 442.8088490422.

The spelling of 86825816 in words is "eighty-six million, eight hundred twenty-five thousand, eight hundred sixteen".