82208940 has 144 divisors (see below), whose sum is σ = 267369984. Its totient is φ = 18713600.

The previous prime is 82208921. The next prime is 82208963. The reversal of 82208940 is 4980228.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 190525 + ... + 190955.

It is an arithmetic number, because the mean of its divisors is an integer number (1856736).

Almost surely, 2^82208940 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 82208940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133684992).

82208940 is an abundant number, since it is smaller than the sum of its proper divisors (185161044).

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

82208940 is a wasteful number, since it uses less digits than its factorization.

82208940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 82208940 is about 9066.9145799439. The cubic root of 82208940 is about 434.8168339695.

The spelling of 82208940 in words is "eighty-two million, two hundred eight thousand, nine hundred forty".