82265610 has 96 divisors (see below), whose sum is σ = 231662592. Its totient is φ = 18641280.

The previous prime is 82265609. The next prime is 82265627. The reversal of 82265610 is 1656228.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

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, 280624 + ... + 280916.

It is an arithmetic number, because the mean of its divisors is an integer number (2413152).

Almost surely, 2^82265610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82265610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115831296).

82265610 is an abundant number, since it is smaller than the sum of its proper divisors (149396982).

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

82265610 is a wasteful number, since it uses less digits than its factorization.

82265610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 82265610 is about 9070.0391399376. The cubic root of 82265610 is about 434.9167233900.

The spelling of 82265610 in words is "eighty-two million, two hundred sixty-five thousand, six hundred ten".