82812640 has 48 divisors (see below), whose sum is σ = 205949520. Its totient is φ = 31380480.

The previous prime is 82812629. The next prime is 82812649. The reversal of 82812640 is 4621828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82812649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10581 + ... + 16660.

It is an arithmetic number, because the mean of its divisors is an integer number (4290615).

Almost surely, 2^82812640 is an apocalyptic number.

82812640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82812640 is an abundant number, since it is smaller than the sum of its proper divisors (123136880).

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

82812640 is a wasteful number, since it uses less digits than its factorization.

82812640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27275 (or 27267 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 82812640 is about 9100.1450537890. The cubic root of 82812640 is about 435.8785959432.

The spelling of 82812640 in words is "eighty-two million, eight hundred twelve thousand, six hundred forty".