83486200 has 96 divisors (see below), whose sum is σ = 226548000. Its totient is φ = 28600320.

The previous prime is 83486197. The next prime is 83486213. The reversal of 83486200 is 268438.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67992 + ... + 69208.

It is an arithmetic number, because the mean of its divisors is an integer number (2359875).

Almost surely, 2^83486200 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 83486200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113274000).

83486200 is an abundant number, since it is smaller than the sum of its proper divisors (143061800).

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

83486200 is a wasteful number, since it uses less digits than its factorization.

83486200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 83486200 is about 9137.0783076430. The cubic root of 83486200 is about 437.0571518896.

The spelling of 83486200 in words is "eighty-three million, four hundred eighty-six thousand, two hundred".