82200606 has 64 divisors (see below), whose sum is σ = 176563200. Its totient is φ = 25474176.

The previous prime is 82200583. The next prime is 82200617. The reversal of 82200606 is 60600228.

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 31 ways as a sum of consecutive naturals, for example, 754080 + ... + 754188.

It is an arithmetic number, because the mean of its divisors is an integer number (2758800).

Almost surely, 2^82200606 is an apocalyptic number.

82200606 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

82200606 is an abundant number, since it is smaller than the sum of its proper divisors (94362594).

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

82200606 is a wasteful number, since it uses less digits than its factorization.

82200606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 82200606 is about 9066.4549852740. The cubic root of 82200606 is about 434.8021401664.

The spelling of 82200606 in words is "eighty-two million, two hundred thousand, six hundred six".