82668640 has 24 divisors (see below), whose sum is σ = 195305040. Its totient is φ = 33067392.

The previous prime is 82668623. The next prime is 82668643. The reversal of 82668640 is 4686628.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 82668593 and 82668602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82668643) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 258180 + ... + 258499.

It is an arithmetic number, because the mean of its divisors is an integer number (8137710).

Almost surely, 2^82668640 is an apocalyptic number.

82668640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82668640 is an abundant number, since it is smaller than the sum of its proper divisors (112636400).

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

82668640 is a wasteful number, since it uses less digits than its factorization.

82668640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516694 (or 516686 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 82668640 is about 9092.2296495414. The cubic root of 82668640 is about 435.6258046872.

The spelling of 82668640 in words is "eighty-two million, six hundred sixty-eight thousand, six hundred forty".