83270208 has 168 divisors, whose sum is σ = 262688832. Its totient is φ = 23202816.

The previous prime is 83270171. The next prime is 83270219. The reversal of 83270208 is 80207238.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498541 + ... + 498707.

It is an arithmetic number, because the mean of its divisors is an integer number (1563624).

Almost surely, 2^83270208 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 83270208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131344416).

83270208 is an abundant number, since it is smaller than the sum of its proper divisors (179418624).

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

83270208 is a wasteful number, since it uses less digits than its factorization.

83270208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 83270208 is about 9125.2511198323. The cubic root of 83270208 is about 436.6799143920.

The spelling of 83270208 in words is "eighty-three million, two hundred seventy thousand, two hundred eight".