86394600 has 120 divisors (see below), whose sum is σ = 300117510. Its totient is φ = 23034240.

The previous prime is 86394589. The next prime is 86394661. The reversal of 86394600 is 649368.

It can be written as a sum of positive squares in 3 ways, for example, as 83942244 + 2452356 = 9162^2 + 1566^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13534 + ... + 18866.

Almost surely, 2^86394600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86394600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150058755).

86394600 is an abundant number, since it is smaller than the sum of its proper divisors (213722910).

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

86394600 is a wasteful number, since it uses less digits than its factorization.

86394600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5361 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 86394600 is about 9294.8695526080. The cubic root of 86394600 is about 442.0745695662.

The spelling of 86394600 in words is "eighty-six million, three hundred ninety-four thousand, six hundred".