82249680 has 80 divisors (see below), whose sum is σ = 258108480. Its totient is φ = 21663744.

The previous prime is 82249627. The next prime is 82249691. The reversal of 82249680 is 8694228.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17856 + ... + 21984.

It is an arithmetic number, because the mean of its divisors is an integer number (3226356).

Almost surely, 2^82249680 is an apocalyptic number.

82249680 is a gapful number since it is divisible by the number (80) 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 82249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129054240).

82249680 is an abundant number, since it is smaller than the sum of its proper divisors (175858800).

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

82249680 is a wasteful number, since it uses less digits than its factorization.

82249680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 82249680 is about 9069.1609314203. The cubic root of 82249680 is about 434.8886489992. Note that the first 3 decimals are identical.

The spelling of 82249680 in words is "eighty-two million, two hundred forty-nine thousand, six hundred eighty".