83368208 has 80 divisors (see below), whose sum is σ = 205641600. Its totient is φ = 32457600.

The previous prime is 83368193. The next prime is 83368213. The reversal of 83368208 is 80286338.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59678 + ... + 61058.

It is an arithmetic number, because the mean of its divisors is an integer number (2570520).

Almost surely, 2^83368208 is an apocalyptic number.

83368208 is a gapful number since it is divisible by the number (88) 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 83368208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102820800).

83368208 is an abundant number, since it is smaller than the sum of its proper divisors (122273392).

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

83368208 is a wasteful number, since it uses less digits than its factorization.

83368208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 83368208 is about 9130.6192561074. The cubic root of 83368208 is about 436.8511555253.

The spelling of 83368208 in words is "eighty-three million, three hundred sixty-eight thousand, two hundred eight".