82645584 has 80 divisors (see below), whose sum is σ = 245317632. Its totient is φ = 23485824.

The previous prime is 82645583. The next prime is 82645609. The reversal of 82645584 is 48554628.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82645583) 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 15 ways as a sum of consecutive naturals, for example, 74377 + ... + 75479.

Almost surely, 2^82645584 is an apocalyptic number.

82645584 is a gapful number since it is divisible by the number (84) 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 82645584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122658816).

82645584 is an abundant number, since it is smaller than the sum of its proper divisors (162672048).

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

82645584 is a wasteful number, since it uses less digits than its factorization.

82645584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1338 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 82645584 is about 9090.9616653025. The cubic root of 82645584 is about 435.5853027410.

The spelling of 82645584 in words is "eighty-two million, six hundred forty-five thousand, five hundred eighty-four".