82025856 has 96 divisors (see below), whose sum is σ = 257535720. Its totient is φ = 24852480.

The previous prime is 82025809. The next prime is 82025899. The reversal of 82025856 is 65852028.

It is a tau number, because it is divible by the number of its divisors (96).

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 82025856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9436 + ... + 15908.

Almost surely, 2^82025856 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 82025856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128767860).

82025856 is an abundant number, since it is smaller than the sum of its proper divisors (175509864).

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

82025856 is a wasteful number, since it uses less digits than its factorization.

82025856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6504 (or 6489 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 82025856 is about 9056.8126843830. The cubic root of 82025856 is about 434.4938067511.

Subtracting from 82025856 its reverse (65852028), we obtain a triangular number (16173828 = T₅₆₈₇).

The spelling of 82025856 in words is "eighty-two million, twenty-five thousand, eight hundred fifty-six".