82694220 has 96 divisors (see below), whose sum is σ = 265821696. Its totient is φ = 18816000.

The previous prime is 82694219. The next prime is 82694221. The reversal of 82694220 is 2249628.

It is an interprime number because it is at equal distance from previous prime (82694219) and next prime (82694221).

It is not an unprimeable number, because it can be changed into a prime (82694221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168175 + ... + 168665.

It is an arithmetic number, because the mean of its divisors is an integer number (2768976).

Almost surely, 2^82694220 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 82694220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132910848).

82694220 is an abundant number, since it is smaller than the sum of its proper divisors (183127476).

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

82694220 is a wasteful number, since it uses less digits than its factorization.

82694220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 82694220 is about 9093.6362364018. The cubic root of 82694220 is about 435.6707316749.

The spelling of 82694220 in words is "eighty-two million, six hundred ninety-four thousand, two hundred twenty".