82049856 has 112 divisors (see below), whose sum is σ = 254325120. Its totient is φ = 22855680.

The previous prime is 82049833. The next prime is 82049861. The reversal of 82049856 is 65894028.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54360 + ... + 55848.

It is an arithmetic number, because the mean of its divisors is an integer number (2270760).

Almost surely, 2^82049856 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 82049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127162560).

82049856 is an abundant number, since it is smaller than the sum of its proper divisors (172275264).

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

82049856 is a wasteful number, since it uses less digits than its factorization.

82049856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 82049856 is about 9058.1375569153. The cubic root of 82049856 is about 434.5361788966.

The spelling of 82049856 in words is "eighty-two million, forty-nine thousand, eight hundred fifty-six".