82616040 has 192 divisors, whose sum is σ = 293529600. Its totient is φ = 20030976.

The previous prime is 82616033. The next prime is 82616057. The reversal of 82616040 is 4061628.

82616040 is a `hidden beast` number, since 8 + 2 + 616 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 82615995 and 82616013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594291 + ... + 594429.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^82616040 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 82616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146764800).

82616040 is an abundant number, since it is smaller than the sum of its proper divisors (210913560).

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

82616040 is a wasteful number, since it uses less digits than its factorization.

82616040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 289 counting only the distinct ones).

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

The square root of 82616040 is about 9089.3366094562. The cubic root of 82616040 is about 435.5333924621.

Adding to 82616040 its reverse (4061628), we get a palindrome (86677668).

The spelling of 82616040 in words is "eighty-two million, six hundred sixteen thousand, forty".