86434200 has 144 divisors (see below), whose sum is σ = 299832000. Its totient is φ = 22291200.

The previous prime is 86434199. The next prime is 86434217. The reversal of 86434200 is 243468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55026 + ... + 56574.

Almost surely, 2^86434200 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 86434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149916000).

86434200 is an abundant number, since it is smaller than the sum of its proper divisors (213397800).

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

86434200 is a wasteful number, since it uses less digits than its factorization.

86434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 86434200 is about 9296.9995159729. Note that the first 3 decimals coincide. The cubic root of 86434200 is about 442.1421026409.

Adding to 86434200 its reverse (243468), we get a palindrome (86677668).

The spelling of 86434200 in words is "eighty-six million, four hundred thirty-four thousand, two hundred".