82641680 has 40 divisors (see below), whose sum is σ = 209611584. Its totient is φ = 30051200.

The previous prime is 82641673. The next prime is 82641731. The reversal of 82641680 is 8614628.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82641680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46076 + ... + 47835.

Almost surely, 2^82641680 is an apocalyptic number.

82641680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82641680 is an abundant number, since it is smaller than the sum of its proper divisors (126969904).

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

82641680 is a wasteful number, since it uses less digits than its factorization.

82641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93935 (or 93929 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 82641680 is about 9090.7469440085. The cubic root of 82641680 is about 435.5784439281.

The spelling of 82641680 in words is "eighty-two million, six hundred forty-one thousand, six hundred eighty".