83923200 has 324 divisors, whose sum is σ = 316313088. Its totient is φ = 21196800.

The previous prime is 83923199. The next prime is 83923219. The reversal of 83923200 is 232938.

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 35 ways as a sum of consecutive naturals, for example, 1785577 + ... + 1785623.

Almost surely, 2^83923200 is an apocalyptic number.

83923200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158156544).

83923200 is an abundant number, since it is smaller than the sum of its proper divisors (232389888).

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

83923200 is a wasteful number, since it uses less digits than its factorization.

83923200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

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

The square root of 83923200 is about 9160.9606483163. The cubic root of 83923200 is about 437.8184022317.

The spelling of 83923200 in words is "eighty-three million, nine hundred twenty-three thousand, two hundred".