82083456 has 384 divisors, whose sum is σ = 311875200. Its totient is φ = 20901888.

The previous prime is 82083433. The next prime is 82083457. The reversal of 82083456 is 65438028.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 82083456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82083457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830450 + ... + 2830478.

It is an arithmetic number, because the mean of its divisors is an integer number (812175).

Almost surely, 2^82083456 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 82083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155937600).

82083456 is an abundant number, since it is smaller than the sum of its proper divisors (229791744).

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

82083456 is a wasteful number, since it uses less digits than its factorization.

82083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 82083456 is about 9059.9920529766. The cubic root of 82083456 is about 434.5954860211.

It can be divided in two parts, 8208 and 3456, that added together give a square (11664 = 108²).

The spelling of 82083456 in words is "eighty-two million, eighty-three thousand, four hundred fifty-six".