82137640 has 64 divisors (see below), whose sum is σ = 200309760. Its totient is φ = 30132480.

The previous prime is 82137607. The next prime is 82137647. The reversal of 82137640 is 4673128.

It is not an unprimeable number, because it can be changed into a prime (82137647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98907 + ... + 99733.

It is an arithmetic number, because the mean of its divisors is an integer number (3129840).

Almost surely, 2^82137640 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 82137640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100154880).

82137640 is an abundant number, since it is smaller than the sum of its proper divisors (118172120).

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

82137640 is a wasteful number, since it uses less digits than its factorization.

82137640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 82137640 is about 9062.9818492591. The cubic root of 82137640 is about 434.6910917351.

The spelling of 82137640 in words is "eighty-two million, one hundred thirty-seven thousand, six hundred forty".