83846900 has 36 divisors (see below), whose sum is σ = 184011660. Its totient is φ = 33158400.

The previous prime is 83846869. The next prime is 83846911. The reversal of 83846900 is 964838.

It can be written as a sum of positive squares in 6 ways, for example, as 12545764 + 71301136 = 3542^2 + 8444^2 .

It is a super-2 number, since 2×83846900² = 14060605279220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4190 + ... + 13610.

It is an arithmetic number, because the mean of its divisors is an integer number (5111435).

Almost surely, 2^83846900 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 83846900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92005830).

83846900 is an abundant number, since it is smaller than the sum of its proper divisors (100164760).

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

83846900 is a wasteful number, since it uses less digits than its factorization.

83846900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9524 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 83846900 is about 9156.7952909301. The cubic root of 83846900 is about 437.6856790081.

The spelling of 83846900 in words is "eighty-three million, eight hundred forty-six thousand, nine hundred".