82406616 has 72 divisors (see below), whose sum is σ = 220874220. Its totient is φ = 25615872.

The previous prime is 82406609. The next prime is 82406689. The reversal of 82406616 is 61660428.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 755970 + ... + 756078.

Almost surely, 2^82406616 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 82406616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110437110).

82406616 is an abundant number, since it is smaller than the sum of its proper divisors (138467604).

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

82406616 is a wasteful number, since it uses less digits than its factorization.

82406616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 82406616 is about 9077.8089867545. The cubic root of 82406616 is about 435.1650688109.

Multiplying 82406616 by its product of nonzero digits (13824), we get a square (1139189059584 = 1067328²).

The spelling of 82406616 in words is "eighty-two million, four hundred six thousand, six hundred sixteen".