86868936 has 160 divisors (see below), whose sum is σ = 303526080. Its totient is φ = 22550400.

The previous prime is 86868883. The next prime is 86868973. The reversal of 86868936 is 63986868.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49026 + ... + 50766.

It is an arithmetic number, because the mean of its divisors is an integer number (1897038).

Almost surely, 2^86868936 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 86868936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151763040).

86868936 is an abundant number, since it is smaller than the sum of its proper divisors (216657144).

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

86868936 is a wasteful number, since it uses less digits than its factorization.

86868936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1764 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 86868936 is about 9320.3506371810. The cubic root of 86868936 is about 442.8821404452.

The spelling of 86868936 in words is "eighty-six million, eight hundred sixty-eight thousand, nine hundred thirty-six".