82426640 has 40 divisors (see below), whose sum is σ = 192160320. Its totient is φ = 32881536.

The previous prime is 82426637. The next prime is 82426649. The reversal of 82426640 is 4662428.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 82426597 and 82426606.

It is not an unprimeable number, because it can be changed into a prime (82426649) 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 7 ways as a sum of consecutive naturals, for example, 33947 + ... + 36293.

It is an arithmetic number, because the mean of its divisors is an integer number (4804008).

Almost surely, 2^82426640 is an apocalyptic number.

82426640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82426640 is an abundant number, since it is smaller than the sum of its proper divisors (109733680).

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

82426640 is a wasteful number, since it uses less digits than its factorization.

82426640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 82426640 is about 9078.9118290685. The cubic root of 82426640 is about 435.2003129053.

The spelling of 82426640 in words is "eighty-two million, four hundred twenty-six thousand, six hundred forty".