82845540 has 72 divisors (see below), whose sum is σ = 262237248. Its totient is φ = 21130560.

The previous prime is 82845533. The next prime is 82845541. The reversal of 82845540 is 4554828.

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 = 82845495 and 82845504.

It is not an unprimeable number, because it can be changed into a prime (82845541) 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 23 ways as a sum of consecutive naturals, for example, 5866 + ... + 14145.

It is an arithmetic number, because the mean of its divisors is an integer number (3642184).

Almost surely, 2^82845540 is an apocalyptic number.

It is an amenable number.

82845540 is an abundant number, since it is smaller than the sum of its proper divisors (179391708).

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

82845540 is a wasteful number, since it uses less digits than its factorization.

82845540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20049 (or 20044 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 82845540 is about 9101.9525377800. The cubic root of 82845540 is about 435.9363105914.

It can be divided in two parts, 8284 and 5540, that added together give a cube (13824 = 24³).

The spelling of 82845540 in words is "eighty-two million, eight hundred forty-five thousand, five hundred forty".