83895300 has 162 divisors, whose sum is σ = 274522794. Its totient is φ = 21427200.

The previous prime is 83895299. The next prime is 83895349. The reversal of 83895300 is 359838.

It can be written as a sum of positive squares in 3 ways, for example, as 4186116 + 79709184 = 2046^2 + 8928^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 864852 + ... + 864948.

Almost surely, 2^83895300 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 83895300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137261397).

83895300 is an abundant number, since it is smaller than the sum of its proper divisors (190627494).

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

83895300 is a wasteful number, since it uses less digits than its factorization.

83895300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 83895300 is about 9159.4377556704. The cubic root of 83895300 is about 437.7698797441.

It can be divided in two parts, 8389 and 5300, that added together give a square (13689 = 117²).

The spelling of 83895300 in words is "eighty-three million, eight hundred ninety-five thousand, three hundred".