82910016 has 84 divisors (see below), whose sum is σ = 271609312. Its totient is φ = 23687424.

The previous prime is 82909987. The next prime is 82910017. The reversal of 82910016 is 61001928.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82910017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6250 + ... + 14313.

Almost surely, 2^82910016 is an apocalyptic number.

It is an amenable number.

82910016 is an abundant number, since it is smaller than the sum of its proper divisors (188699296).

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

82910016 is a wasteful number, since it uses less digits than its factorization.

82910016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20588 (or 20575 counting only the distinct ones).

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

The square root of 82910016 is about 9105.4937263171. The cubic root of 82910016 is about 436.0493729684.

The spelling of 82910016 in words is "eighty-two million, nine hundred ten thousand, sixteen".