82088616 has 32 divisors (see below), whose sum is σ = 207532800. Its totient is φ = 27054720.

The previous prime is 82088551. The next prime is 82088621. The reversal of 82088616 is 61688028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17080 + ... + 21351.

It is an arithmetic number, because the mean of its divisors is an integer number (6485400).

Almost surely, 2^82088616 is an apocalyptic number.

It is an amenable number.

82088616 is an abundant number, since it is smaller than the sum of its proper divisors (125444184).

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

82088616 is a wasteful number, since it uses less digits than its factorization.

82088616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38529 (or 38525 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 82088616 is about 9060.2768169632. The cubic root of 82088616 is about 434.6045924672.

The spelling of 82088616 in words is "eighty-two million, eighty-eight thousand, six hundred sixteen".