86186440 has 48 divisors (see below), whose sum is σ = 196794900. Its totient is φ = 33970176.

The previous prime is 86186437. The next prime is 86186449. The reversal of 86186440 is 4468168.

It can be written as a sum of positive squares in 6 ways, for example, as 54848836 + 31337604 = 7406^2 + 5598^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 86186440.

It is not an unprimeable number, because it can be changed into a prime (86186449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376246 + ... + 376474.

Almost surely, 2^86186440 is an apocalyptic number.

It is an amenable number.

86186440 is an abundant number, since it is smaller than the sum of its proper divisors (110608460).

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

86186440 is a wasteful number, since it uses less digits than its factorization.

86186440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 86186440 is about 9283.6652244682. The cubic root of 86186440 is about 441.7192377595.

The spelling of 86186440 in words is "eighty-six million, one hundred eighty-six thousand, four hundred forty".