82906236 has 108 divisors (see below), whose sum is σ = 249681432. Its totient is φ = 23115456.

The previous prime is 82906211. The next prime is 82906249. The reversal of 82906236 is 63260928.

82906236 is a `hidden beast` number, since 8 + 29 + 0 + 623 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82906236.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75306 + ... + 76398.

Almost surely, 2^82906236 is an apocalyptic number.

82906236 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82906236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124840716).

82906236 is an abundant number, since it is smaller than the sum of its proper divisors (166775196).

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

82906236 is a wasteful number, since it uses less digits than its factorization.

82906236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 82906236 is about 9105.2861569530. The cubic root of 82906236 is about 436.0427461386.

The spelling of 82906236 in words is "eighty-two million, nine hundred six thousand, two hundred thirty-six".