86221968 has 80 divisors (see below), whose sum is σ = 259804800. Its totient is φ = 24630144.

The previous prime is 86221939. The next prime is 86221997. The reversal of 86221968 is 86912268.

It is an interprime number because it is at equal distance from previous prime (86221939) and next prime (86221997).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 13846 + ... + 19082.

It is an arithmetic number, because the mean of its divisors is an integer number (3247560).

Almost surely, 2^86221968 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 86221968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129902400).

86221968 is an abundant number, since it is smaller than the sum of its proper divisors (173582832).

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

86221968 is a wasteful number, since it uses less digits than its factorization.

86221968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5269 (or 5249 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 86221968 is about 9285.5784957104. The cubic root of 86221968 is about 441.7799249751.

The spelling of 86221968 in words is "eighty-six million, two hundred twenty-one thousand, nine hundred sixty-eight".