82633408 has 56 divisors (see below), whose sum is σ = 192664080. Its totient is φ = 34667520.

The previous prime is 82633403. The next prime is 82633483. The reversal of 82633408 is 80433628.

It is not an unprimeable number, because it can be changed into a prime (82633403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4638 + ... + 13666.

It is an arithmetic number, because the mean of its divisors is an integer number (3440430).

Almost surely, 2^82633408 is an apocalyptic number.

82633408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96332040).

82633408 is an abundant number, since it is smaller than the sum of its proper divisors (110030672).

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

82633408 is a wasteful number, since it uses less digits than its factorization.

82633408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9065 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 82633408 is about 9090.2919645081. The cubic root of 82633408 is about 435.5639104017.

The spelling of 82633408 in words is "eighty-two million, six hundred thirty-three thousand, four hundred eight".