86338300 has 36 divisors (see below), whose sum is σ = 189128520. Its totient is φ = 34208320.

The previous prime is 86338289. The next prime is 86338319. The reversal of 86338300 is 383368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6666 + ... + 14734.

It is an arithmetic number, because the mean of its divisors is an integer number (5253570).

Almost surely, 2^86338300 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 86338300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94564260).

86338300 is an abundant number, since it is smaller than the sum of its proper divisors (102790220).

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

86338300 is a wasteful number, since it uses less digits than its factorization.

86338300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8190 (or 8183 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 86338300 is about 9291.8405065950. The cubic root of 86338300 is about 441.9785210995.

The spelling of 86338300 in words is "eighty-six million, three hundred thirty-eight thousand, three hundred".