86499180 has 72 divisors (see below), whose sum is σ = 267360912. Its totient is φ = 22628736.

The previous prime is 86499173. The next prime is 86499209. The reversal of 86499180 is 8199468.

86499180 is a `hidden beast` number, since 86 + 499 + 1 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5007 + ... + 14073.

It is an arithmetic number, because the mean of its divisors is an integer number (3713346).

Almost surely, 2^86499180 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 86499180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133680456).

86499180 is an abundant number, since it is smaller than the sum of its proper divisors (180861732).

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

86499180 is a wasteful number, since it uses less digits than its factorization.

86499180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9135 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 86499180 is about 9300.4935352916. The cubic root of 86499180 is about 442.2528735978.

The spelling of 86499180 in words is "eighty-six million, four hundred ninety-nine thousand, one hundred eighty".