82086840 has 192 divisors, whose sum is σ = 306633600. Its totient is φ = 18835200.

The previous prime is 82086817. The next prime is 82086881. The reversal of 82086840 is 4868028.

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

It is a junction number, because it is equal to n+sod(n) for n = 82086795 and 82086804.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 74695 + ... + 75785.

It is an arithmetic number, because the mean of its divisors is an integer number (1597050).

Almost surely, 2^82086840 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 82086840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153316800).

82086840 is an abundant number, since it is smaller than the sum of its proper divisors (224546760).

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

82086840 is a wasteful number, since it uses less digits than its factorization.

82086840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 82086840 is about 9060.1788061826. The cubic root of 82086840 is about 434.6014581986.

The spelling of 82086840 in words is "eighty-two million, eighty-six thousand, eight hundred forty".