86188900 has 36 divisors (see below), whose sum is σ = 213750208. Its totient is φ = 29550240.

The previous prime is 86188891. The next prime is 86188909. The reversal of 86188900 is 988168.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86188891) and next prime (86188909).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86188909) 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, 60864 + ... + 62263.

Almost surely, 2^86188900 is an apocalyptic number.

It is an amenable number.

86188900 is an abundant number, since it is smaller than the sum of its proper divisors (127561308).

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

86188900 is a wasteful number, since it uses less digits than its factorization.

86188900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123148 (or 123141 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

The square root of 86188900 is about 9283.7977142977. The cubic root of 86188900 is about 441.7234403502.

The spelling of 86188900 in words is "eighty-six million, one hundred eighty-eight thousand, nine hundred".