83916800 has 144 divisors (see below), whose sum is σ = 228501000. Its totient is φ = 30310400.

The previous prime is 83916799. The next prime is 83916809. The reversal of 83916800 is 861938.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83916809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 563126 + ... + 563274.

Almost surely, 2^83916800 is an apocalyptic number.

83916800 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 83916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114250500).

83916800 is an abundant number, since it is smaller than the sum of its proper divisors (144584200).

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

83916800 is a wasteful number, since it uses less digits than its factorization.

83916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 83916800 is about 9160.6113333118. The cubic root of 83916800 is about 437.8072725759.

The spelling of 83916800 in words is "eighty-three million, nine hundred sixteen thousand, eight hundred".