86385300 has 72 divisors (see below), whose sum is σ = 252504672. Its totient is φ = 22800000.

The previous prime is 86385293. The next prime is 86385337. The reversal of 86385300 is 358368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28875 + ... + 31725.

Almost surely, 2^86385300 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 86385300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126252336).

86385300 is an abundant number, since it is smaller than the sum of its proper divisors (166119372).

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

86385300 is a wasteful number, since it uses less digits than its factorization.

86385300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 86385300 is about 9294.3692631614. The cubic root of 86385300 is about 442.0587065338.

The spelling of 86385300 in words is "eighty-six million, three hundred eighty-five thousand, three hundred".