82784632 has 64 divisors (see below), whose sum is σ = 187545600. Its totient is φ = 33505920.

The previous prime is 82784629. The next prime is 82784633. The reversal of 82784632 is 23648728.

It is a super-3 number, since 3×82784632³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82784633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74094 + ... + 75202.

It is an arithmetic number, because the mean of its divisors is an integer number (2930400).

Almost surely, 2^82784632 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 82784632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93772800).

82784632 is an abundant number, since it is smaller than the sum of its proper divisors (104760968).

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

82784632 is a wasteful number, since it uses less digits than its factorization.

82784632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1192 counting only the distinct ones).

The product of its digits is 129024, while the sum is 40.

The square root of 82784632 is about 9098.6060470822. The cubic root of 82784632 is about 435.8294510129.

The spelling of 82784632 in words is "eighty-two million, seven hundred eighty-four thousand, six hundred thirty-two".