82610784 has 144 divisors (see below), whose sum is σ = 255790080. Its totient is φ = 25194240.

The previous prime is 82610767. The next prime is 82610789. The reversal of 82610784 is 48701628.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82610789) 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 23 ways as a sum of consecutive naturals, for example, 169389 + ... + 169875.

It is an arithmetic number, because the mean of its divisors is an integer number (1776320).

Almost surely, 2^82610784 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 82610784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127895040).

82610784 is an abundant number, since it is smaller than the sum of its proper divisors (173179296).

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

82610784 is a wasteful number, since it uses less digits than its factorization.

82610784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 82610784 is about 9089.0474748458. The cubic root of 82610784 is about 435.5241561118.

The spelling of 82610784 in words is "eighty-two million, six hundred ten thousand, seven hundred eighty-four".