82015416 has 224 divisors, whose sum is σ = 275436000. Its totient is φ = 22861440.

The previous prime is 82015403. The next prime is 82015459. The reversal of 82015416 is 61451028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 82015416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2000356 + ... + 2000396.

It is an arithmetic number, because the mean of its divisors is an integer number (1229625).

Almost surely, 2^82015416 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 82015416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137718000).

82015416 is an abundant number, since it is smaller than the sum of its proper divisors (193420584).

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

82015416 is an equidigital number, since it uses as much as digits as its factorization.

82015416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 82015416 is about 9056.2363043375. The cubic root of 82015416 is about 434.4753722882.

The spelling of 82015416 in words is "eighty-two million, fifteen thousand, four hundred sixteen".