82270208 has 72 divisors (see below), whose sum is σ = 176003100. Its totient is φ = 38436864.

The previous prime is 82270207. The next prime is 82270211. The reversal of 82270208 is 80207228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82270207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 591803 + ... + 591941.

Almost surely, 2^82270208 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 82270208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88001550).

82270208 is an abundant number, since it is smaller than the sum of its proper divisors (93732892).

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

82270208 is a wasteful number, since it uses less digits than its factorization.

82270208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 82270208 is about 9070.2926082900. The cubic root of 82270208 is about 434.9248260461.

The spelling of 82270208 in words is "eighty-two million, two hundred seventy thousand, two hundred eight".