86934200 has 48 divisors (see below), whose sum is σ = 204596280. Its totient is φ = 34348160.

The previous prime is 86934193. The next prime is 86934203. The reversal of 86934200 is 243968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86934203) 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, 13982 + ... + 19218.

Almost surely, 2^86934200 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 86934200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102298140).

86934200 is an abundant number, since it is smaller than the sum of its proper divisors (117662080).

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

86934200 is a wasteful number, since it uses less digits than its factorization.

86934200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 86934200 is about 9323.8511356628. The cubic root of 86934200 is about 442.9930240584.

The spelling of 86934200 in words is "eighty-six million, nine hundred thirty-four thousand, two hundred".