86314200 has 96 divisors (see below), whose sum is σ = 305813760. Its totient is φ = 19728000.

The previous prime is 86314183. The next prime is 86314243. The reversal of 86314200 is 241368.

It is a happy number.

It is a super-2 number, since 2×86314200² = 14900282243280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6076 + ... + 14475.

It is an arithmetic number, because the mean of its divisors is an integer number (3185560).

Almost surely, 2^86314200 is an apocalyptic number.

It is an amenable number.

86314200 is an abundant number, since it is smaller than the sum of its proper divisors (219499560).

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

86314200 is a wasteful number, since it uses less digits than its factorization.

86314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20577 (or 20568 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 86314200 is about 9290.5435793607. The cubic root of 86314200 is about 441.9373934517.

Adding to 86314200 its reverse (241368), we get a palindrome (86555568).

The spelling of 86314200 in words is "eighty-six million, three hundred fourteen thousand, two hundred".