86226280 has 192 divisors, whose sum is σ = 245624400. Its totient is φ = 27095040.

The previous prime is 86226277. The next prime is 86226299. The reversal of 86226280 is 8262268.

It can be written as a sum of positive squares in 8 ways, for example, as 33431524 + 52794756 = 5782^2 + 7266^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2103060 + ... + 2103100.

Almost surely, 2^86226280 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 86226280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122812200).

86226280 is an abundant number, since it is smaller than the sum of its proper divisors (159398120).

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

86226280 is a wasteful number, since it uses less digits than its factorization.

86226280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 86226280 is about 9285.8106808183. The cubic root of 86226280 is about 441.7872893909.

The spelling of 86226280 in words is "eighty-six million, two hundred twenty-six thousand, two hundred eighty".