82409040 has 240 divisors, whose sum is σ = 321729408. Its totient is φ = 18514944.

The previous prime is 82408967. The next prime is 82409053. The reversal of 82409040 is 4090428.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 82408995 and 82409013.

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 47 ways as a sum of consecutive naturals, for example, 418222 + ... + 418418.

Almost surely, 2^82409040 is an apocalyptic number.

82409040 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 82409040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

82409040 is an abundant number, since it is smaller than the sum of its proper divisors (239320368).

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

82409040 is a wasteful number, since it uses less digits than its factorization.

82409040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82409040 is about 9077.9424981655. The cubic root of 82409040 is about 435.1693355791.

Adding to 82409040 its reverse (4090428), we get a palindrome (86499468).

The spelling of 82409040 in words is "eighty-two million, four hundred nine thousand, forty".