82055610 has 192 divisors, whose sum is σ = 269837568. Its totient is φ = 16837632.

The previous prime is 82055609. The next prime is 82055627. The reversal of 82055610 is 1655028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 352054 + ... + 352286.

It is an arithmetic number, because the mean of its divisors is an integer number (1405404).

Almost surely, 2^82055610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82055610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134918784).

82055610 is an abundant number, since it is smaller than the sum of its proper divisors (187781958).

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

82055610 is a wasteful number, since it uses less digits than its factorization.

82055610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 82055610 is about 9058.4551663073. The cubic root of 82055610 is about 434.5463363904.

The spelling of 82055610 in words is "eighty-two million, fifty-five thousand, six hundred ten".