82065690 has 96 divisors (see below), whose sum is σ = 254612160. Its totient is φ = 18754848.

The previous prime is 82065653. The next prime is 82065703. The reversal of 82065690 is 9656028.

It is a super-2 number, since 2×82065690² = 13469554950352200, which contains 22 as substring.

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, 10129 + ... + 16331.

It is an arithmetic number, because the mean of its divisors is an integer number (2652210).

Almost surely, 2^82065690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82065690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127306080).

82065690 is an abundant number, since it is smaller than the sum of its proper divisors (172546470).

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

82065690 is a wasteful number, since it uses less digits than its factorization.

82065690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6233 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 82065690 is about 9059.0115354822. The cubic root of 82065690 is about 434.5641293958.

The spelling of 82065690 in words is "eighty-two million, sixty-five thousand, six hundred ninety".