83840900 has 162 divisors, whose sum is σ = 221825646. Its totient is φ = 27456000.

The previous prime is 83840893. The next prime is 83840909. The reversal of 83840900 is 904838.

It can be written as a sum of positive squares in 9 ways, for example, as 73239364 + 10601536 = 8558^2 + 3256^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83840909) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2044880 + ... + 2044920.

Almost surely, 2^83840900 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 83840900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110912823).

83840900 is an abundant number, since it is smaller than the sum of its proper divisors (137984746).

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

83840900 is a wasteful number, since it uses less digits than its factorization.

83840900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 83840900 is about 9156.4676595290. The cubic root of 83840900 is about 437.6752386431.

The spelling of 83840900 in words is "eighty-three million, eight hundred forty thousand, nine hundred".