82627540 has 24 divisors (see below), whose sum is σ = 175144032. Its totient is φ = 32741280.

The previous prime is 82627507. The next prime is 82627543. The reversal of 82627540 is 4572628.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82627496 and 82627505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82627543) 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, 17166 + ... + 21445.

It is an arithmetic number, because the mean of its divisors is an integer number (7297668).

Almost surely, 2^82627540 is an apocalyptic number.

It is an amenable number.

82627540 is an abundant number, since it is smaller than the sum of its proper divisors (92516492).

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

82627540 is a wasteful number, since it uses less digits than its factorization.

82627540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38727 (or 38725 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 82627540 is about 9089.9691968675. The cubic root of 82627540 is about 435.5536000055.

The spelling of 82627540 in words is "eighty-two million, six hundred twenty-seven thousand, five hundred forty".