86237820 has 72 divisors (see below), whose sum is σ = 265211856. Its totient is φ = 22678272.

The previous prime is 86237819. The next prime is 86237863. The reversal of 86237820 is 2873268.

It is a happy number.

86237820 is a `hidden beast` number, since 8 + 623 + 7 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9859 + ... + 16421.

It is an arithmetic number, because the mean of its divisors is an integer number (3683498).

Almost surely, 2^86237820 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 86237820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132605928).

86237820 is an abundant number, since it is smaller than the sum of its proper divisors (178974036).

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

86237820 is a wasteful number, since it uses less digits than its factorization.

86237820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6651 (or 6646 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 86237820 is about 9286.4320381942. The cubic root of 86237820 is about 441.8069972182.

The spelling of 86237820 in words is "eighty-six million, two hundred thirty-seven thousand, eight hundred twenty".