82010916 has 144 divisors (see below), whose sum is σ = 245831040. Its totient is φ = 22809600.

The previous prime is 82010891. The next prime is 82010959. The reversal of 82010916 is 61901028.

It is a self number, because there is not a number n which added to its sum of digits gives 82010916.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204316 + ... + 204716.

It is an arithmetic number, because the mean of its divisors is an integer number (1707160).

Almost surely, 2^82010916 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 82010916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122915520).

82010916 is an abundant number, since it is smaller than the sum of its proper divisors (163820124).

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

82010916 is a wasteful number, since it uses less digits than its factorization.

82010916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 82010916 is about 9055.9878533487. The cubic root of 82010916 is about 434.4674259166.

The spelling of 82010916 in words is "eighty-two million, ten thousand, nine hundred sixteen".