82636540 has 144 divisors (see below), whose sum is σ = 216149472. Its totient is φ = 26417664.

The previous prime is 82636537. The next prime is 82636549. The reversal of 82636540 is 4563628.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82636496 and 82636505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82636549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1559154 + ... + 1559206.

It is an arithmetic number, because the mean of its divisors is an integer number (1501038).

Almost surely, 2^82636540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82636540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108074736).

82636540 is an abundant number, since it is smaller than the sum of its proper divisors (133512932).

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

82636540 is a wasteful number, since it uses less digits than its factorization.

82636540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 82636540 is about 9090.4642345702. The cubic root of 82636540 is about 435.5694132968.

The spelling of 82636540 in words is "eighty-two million, six hundred thirty-six thousand, five hundred forty".