83364096 has 144 divisors (see below), whose sum is σ = 242827200. Its totient is φ = 25288704.

The previous prime is 83364091. The next prime is 83364097. The reversal of 83364096 is 69046338.

It is not an unprimeable number, because it can be changed into a prime (83364091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423070 + ... + 423266.

It is an arithmetic number, because the mean of its divisors is an integer number (1686300).

Almost surely, 2^83364096 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 83364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121413600).

83364096 is an abundant number, since it is smaller than the sum of its proper divisors (159463104).

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

83364096 is a wasteful number, since it uses less digits than its factorization.

83364096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 83364096 is about 9130.3940769279. The cubic root of 83364096 is about 436.8439730851.

The spelling of 83364096 in words is "eighty-three million, three hundred sixty-four thousand, ninety-six".