83039200 has 72 divisors (see below), whose sum is σ = 211580208. Its totient is φ = 31764480.

The previous prime is 83039189. The next prime is 83039233. The reversal of 83039200 is 293038.

It is a happy number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16144 + ... + 20656.

It is an arithmetic number, because the mean of its divisors is an integer number (2938614).

Almost surely, 2^83039200 is an apocalyptic number.

83039200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105790104).

83039200 is an abundant number, since it is smaller than the sum of its proper divisors (128541008).

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

83039200 is a wasteful number, since it uses less digits than its factorization.

83039200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 83039200 is about 9112.5847046818. The cubic root of 83039200 is about 436.2757282933.

It can be divided in two parts, 8303 and 9200, that multiplied together give a square (76387600 = 8740²).

The spelling of 83039200 in words is "eighty-three million, thirty-nine thousand, two hundred".