83449800 has 288 divisors, whose sum is σ = 330782400. Its totient is φ = 18455040.

The previous prime is 83449781. The next prime is 83449813. The reversal of 83449800 is 894438.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 466111 + ... + 466289.

It is an arithmetic number, because the mean of its divisors is an integer number (1148550).

Almost surely, 2^83449800 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 83449800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165391200).

83449800 is an abundant number, since it is smaller than the sum of its proper divisors (247332600).

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

83449800 is a wasteful number, since it uses less digits than its factorization.

83449800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 83449800 is about 9135.0862064898. The cubic root of 83449800 is about 436.9936236539.

The spelling of 83449800 in words is "eighty-three million, four hundred forty-nine thousand, eight hundred".