86580090 has 80 divisors (see below), whose sum is σ = 235616040. Its totient is φ = 22809600.

The previous prime is 86580077. The next prime is 86580101. The reversal of 86580090 is 9008568.

It can be written as a sum of positive squares in 4 ways, for example, as 25130169 + 61449921 = 5013^2 + 7839^2 .

It is a super-2 number, since 2×86580090² = 14992223968816200, which contains 22 as substring.

It is a congruent number.

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, 71490 + ... + 72690.

Almost surely, 2^86580090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86580090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117808020).

86580090 is an abundant number, since it is smaller than the sum of its proper divisors (149035950).

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

86580090 is a wasteful number, since it uses less digits than its factorization.

86580090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 86580090 is about 9304.8422877553. The cubic root of 86580090 is about 442.3907228003.

The spelling of 86580090 in words is "eighty-six million, five hundred eighty thousand, ninety".