86842200 has 48 divisors (see below), whose sum is σ = 269212680. Its totient is φ = 23157760.

The previous prime is 86842199. The next prime is 86842201. The reversal of 86842200 is 224868.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86842199) and next prime (86842201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86842201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 71769 + ... + 72968.

Almost surely, 2^86842200 is an apocalyptic number.

It is an amenable number.

86842200 is an abundant number, since it is smaller than the sum of its proper divisors (182370480).

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

86842200 is a wasteful number, since it uses less digits than its factorization.

86842200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144756 (or 144747 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 86842200 is about 9318.9162460020. The cubic root of 86842200 is about 442.8366999136.

The spelling of 86842200 in words is "eighty-six million, eight hundred forty-two thousand, two hundred".