86221872 has 120 divisors (see below), whose sum is σ = 272460240. Its totient is φ = 25213440.

The previous prime is 86221823. The next prime is 86221873. The reversal of 86221872 is 27812268.

It is a happy number.

It is a super-2 number, since 2×86221872² = 14868422422368768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (86221873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44998 + ... + 46874.

It is an arithmetic number, because the mean of its divisors is an integer number (2270502).

Almost surely, 2^86221872 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 86221872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136230120).

86221872 is an abundant number, since it is smaller than the sum of its proper divisors (186238368).

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

86221872 is a wasteful number, since it uses less digits than its factorization.

86221872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1922 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 86221872 is about 9285.5733264026. The cubic root of 86221872 is about 441.7797610149.

The spelling of 86221872 in words is "eighty-six million, two hundred twenty-one thousand, eight hundred seventy-two".