82311768 has 256 divisors, whose sum is σ = 293760000. Its totient is φ = 21168000.

The previous prime is 82311767. The next prime is 82311787. The reversal of 82311768 is 86711328.

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

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 (82311767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814918 + ... + 815018.

It is an arithmetic number, because the mean of its divisors is an integer number (1147500).

Almost surely, 2^82311768 is an apocalyptic number.

82311768 is a gapful number since it is divisible by the number (88) 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 82311768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).

82311768 is an abundant number, since it is smaller than the sum of its proper divisors (211448232).

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

82311768 is a wasteful number, since it uses less digits than its factorization.

82311768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 82311768 is about 9072.5833145803. The cubic root of 82311768 is about 434.9980499318.

It can be divided in two parts, 8231 and 1768, that added together give a palindrome (9999).

The spelling of 82311768 in words is "eighty-two million, three hundred eleven thousand, seven hundred sixty-eight".