83773368 has 96 divisors (see below), whose sum is σ = 260582400. Its totient is φ = 23817024.

The previous prime is 83773363. The next prime is 83773369. The reversal of 83773368 is 86337738.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83773363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180705 + ... + 181167.

It is an arithmetic number, because the mean of its divisors is an integer number (2714400).

Almost surely, 2^83773368 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 83773368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130291200).

83773368 is an abundant number, since it is smaller than the sum of its proper divisors (176809032).

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

83773368 is a wasteful number, since it uses less digits than its factorization.

83773368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 834 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 83773368 is about 9152.7792500420. The cubic root of 83773368 is about 437.5576944866.

The spelling of 83773368 in words is "eighty-three million, seven hundred seventy-three thousand, three hundred sixty-eight".