82731768 has 64 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 23059200.

The previous prime is 82731731. The next prime is 82731769. The reversal of 82731768 is 86713728.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82731769) 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, 883 + ... + 12893.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2^82731768 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 82731768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

82731768 is an abundant number, since it is smaller than the sum of its proper divisors (159430152).

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

82731768 is a wasteful number, since it uses less digits than its factorization.

82731768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12068 (or 12064 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 82731768 is about 9095.7005227745. The cubic root of 82731768 is about 435.7366616732.

The spelling of 82731768 in words is "eighty-two million, seven hundred thirty-one thousand, seven hundred sixty-eight".