82740636 has 96 divisors (see below), whose sum is σ = 235791360. Its totient is φ = 24883200.

The previous prime is 82740613. The next prime is 82740641. The reversal of 82740636 is 63604728.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82740636.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305181 + ... + 305451.

It is an arithmetic number, because the mean of its divisors is an integer number (2456160).

Almost surely, 2^82740636 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 82740636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117895680).

82740636 is an abundant number, since it is smaller than the sum of its proper divisors (153050724).

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

82740636 is a wasteful number, since it uses less digits than its factorization.

82740636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 82740636 is about 9096.1879927803. The cubic root of 82740636 is about 435.7522299559.

The spelling of 82740636 in words is "eighty-two million, seven hundred forty thousand, six hundred thirty-six".