82266944 has 56 divisors (see below), whose sum is σ = 175125888. Its totient is φ = 38205440.

The previous prime is 82266931. The next prime is 82266949. The reversal of 82266944 is 44966228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82266949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89849 + ... + 90759.

It is an arithmetic number, because the mean of its divisors is an integer number (3127248).

Almost surely, 2^82266944 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 82266944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87562944).

82266944 is an abundant number, since it is smaller than the sum of its proper divisors (92858944).

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

82266944 is a wasteful number, since it uses less digits than its factorization.

82266944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 82266944 is about 9070.1126784622. The cubic root of 82266944 is about 434.9190742134.

The spelling of 82266944 in words is "eighty-two million, two hundred sixty-six thousand, nine hundred forty-four".