83394000 has 240 divisors, whose sum is σ = 301011984. Its totient is φ = 21504000.

The previous prime is 83393987. The next prime is 83394007. The reversal of 83394000 is 49338.

It can be written as a sum of positive squares in 8 ways, for example, as 73205136 + 10188864 = 8556^2 + 3192^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83394007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737944 + ... + 738056.

Almost surely, 2^83394000 is an apocalyptic number.

83394000 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 83394000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150505992).

83394000 is an abundant number, since it is smaller than the sum of its proper divisors (217617984).

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

83394000 is a wasteful number, since it uses less digits than its factorization.

83394000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 164 counting only the distinct ones).

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

The square root of 83394000 is about 9132.0315373963. The cubic root of 83394000 is about 436.8962010870.

The spelling of 83394000 in words is "eighty-three million, three hundred ninety-four thousand".