86289600 has 84 divisors (see below), whose sum is σ = 283117544. Its totient is φ = 23009280.

The previous prime is 86289547. The next prime is 86289607. The reversal of 86289600 is 698268.

It is not an unprimeable number, because it can be changed into a prime (86289607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4189 + ... + 13788.

Almost surely, 2^86289600 is an apocalyptic number.

86289600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86289600 is an abundant number, since it is smaller than the sum of its proper divisors (196827944).

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

86289600 is a wasteful number, since it uses less digits than its factorization.

86289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18002 (or 17987 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 86289600 is about 9289.2195581760. The cubic root of 86289600 is about 441.8954046369.

The spelling of 86289600 in words is "eighty-six million, two hundred eighty-nine thousand, six hundred".