82285632 has 336 divisors, whose sum is σ = 295119552. Its totient is φ = 22394880.

The previous prime is 82285613. The next prime is 82285633. The reversal of 82285632 is 23658228.

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

It is not an unprimeable number, because it can be changed into a prime (82285633) 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 47 ways as a sum of consecutive naturals, for example, 2223918 + ... + 2223954.

It is an arithmetic number, because the mean of its divisors is an integer number (878332).

Almost surely, 2^82285632 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 82285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147559776).

82285632 is an abundant number, since it is smaller than the sum of its proper divisors (212833920).

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

82285632 is a wasteful number, since it uses less digits than its factorization.

82285632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

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

The square root of 82285632 is about 9071.1428166466. The cubic root of 82285632 is about 434.9520042171.

The spelling of 82285632 in words is "eighty-two million, two hundred eighty-five thousand, six hundred thirty-two".