82187640 has 48 divisors (see below), whose sum is σ = 267111000. Its totient is φ = 21916608.

The previous prime is 82187621. The next prime is 82187641. The reversal of 82187640 is 4678128.

82187640 is a `hidden beast` number, since 8 + 2 + 1 + 8 + 7 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82187595 and 82187604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82187641) 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 11 ways as a sum of consecutive naturals, for example, 113790 + ... + 114509.

Almost surely, 2^82187640 is an apocalyptic number.

It is an amenable number.

82187640 is an abundant number, since it is smaller than the sum of its proper divisors (184923360).

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

82187640 is a wasteful number, since it uses less digits than its factorization.

82187640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228316 (or 228309 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 82187640 is about 9065.7399036151. The cubic root of 82187640 is about 434.7792776382.

The spelling of 82187640 in words is "eighty-two million, one hundred eighty-seven thousand, six hundred forty".