83430900 has 432 divisors, whose sum is σ = 341228160. Its totient is φ = 16588800.

The previous prime is 83430863. The next prime is 83430923. The reversal of 83430900 is 903438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2034880 + ... + 2034920.

It is an arithmetic number, because the mean of its divisors is an integer number (789880).

Almost surely, 2^83430900 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 83430900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

83430900 is an abundant number, since it is smaller than the sum of its proper divisors (257797260).

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

83430900 is a wasteful number, since it uses less digits than its factorization.

83430900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 83430900 is about 9134.0516749140. The cubic root of 83430900 is about 436.9606305527.

The spelling of 83430900 in words is "eighty-three million, four hundred thirty thousand, nine hundred".