82681236 has 216 divisors, whose sum is σ = 257551840. Its totient is φ = 23094720.

The previous prime is 82681229. The next prime is 82681253. The reversal of 82681236 is 63218628.

82681236 = T₈₉ + T₉₀ + ... + T₇₉₁.

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

Its product of digits (27648) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 82681236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2234610 + ... + 2234646.

Almost surely, 2^82681236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82681236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128775920).

82681236 is an abundant number, since it is smaller than the sum of its proper divisors (174870604).

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

82681236 is a wasteful number, since it uses less digits than its factorization.

82681236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 82681236 is about 9092.9223025384. The cubic root of 82681236 is about 435.6479286106.

The spelling of 82681236 in words is "eighty-two million, six hundred eighty-one thousand, two hundred thirty-six".