82262208 has 112 divisors (see below), whose sum is σ = 251707904. Its totient is φ = 23224320.

The previous prime is 82262203. The next prime is 82262209. The reversal of 82262208 is 80226228.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82262203) 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, 130053 + ... + 130683.

It is an arithmetic number, because the mean of its divisors is an integer number (2247392).

Almost surely, 2^82262208 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 82262208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125853952).

82262208 is an abundant number, since it is smaller than the sum of its proper divisors (169445696).

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

82262208 is a wasteful number, since it uses less digits than its factorization.

82262208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 82262208 is about 9069.8515974629. The cubic root of 82262208 is about 434.9107281465.

It can be divided in two parts, 8226220 and 8, that added together give a palindrome (8226228).

The spelling of 82262208 in words is "eighty-two million, two hundred sixty-two thousand, two hundred eight".