83123400 has 192 divisors, whose sum is σ = 274982400. Its totient is φ = 20736000.

The previous prime is 83123377. The next prime is 83123407. The reversal of 83123400 is 432138.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83123407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 762546 + ... + 762654.

It is an arithmetic number, because the mean of its divisors is an integer number (1432200).

Almost surely, 2^83123400 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 83123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

83123400 is an abundant number, since it is smaller than the sum of its proper divisors (191859000).

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

83123400 is a wasteful number, since it uses less digits than its factorization.

83123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 83123400 is about 9117.2035186235. The cubic root of 83123400 is about 436.4231366150.

Adding to 83123400 its reverse (432138), we get a palindrome (83555538).

The spelling of 83123400 in words is "eighty-three million, one hundred twenty-three thousand, four hundred".