82106406 has 32 divisors (see below), whose sum is σ = 185558400. Its totient is φ = 26903880.

The previous prime is 82106399. The next prime is 82106407. The reversal of 82106406 is 60460128.

82106406 is a `hidden beast` number, since 8 + 2 + 10 + 640 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 82106406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82106407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9700 + ... + 16071.

It is an arithmetic number, because the mean of its divisors is an integer number (5798700).

Almost surely, 2^82106406 is an apocalyptic number.

82106406 is an abundant number, since it is smaller than the sum of its proper divisors (103451994).

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

82106406 is a wasteful number, since it uses less digits than its factorization.

82106406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25841 (or 25835 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 82106406 is about 9061.2585218611. The cubic root of 82106406 is about 434.6359856032.

The spelling of 82106406 in words is "eighty-two million, one hundred six thousand, four hundred six".