82537640 has 64 divisors (see below), whose sum is σ = 194261760. Its totient is φ = 31530240.

The previous prime is 82537613. The next prime is 82537643. The reversal of 82537640 is 4673528.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 82537640.

It is not an unprimeable number, because it can be changed into a prime (82537643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80330 + ... + 81350.

It is an arithmetic number, because the mean of its divisors is an integer number (3035340).

Almost surely, 2^82537640 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 82537640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97130880).

82537640 is an abundant number, since it is smaller than the sum of its proper divisors (111724120).

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

82537640 is a wasteful number, since it uses less digits than its factorization.

82537640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 82537640 is about 9085.0228398172. The cubic root of 82537640 is about 435.3955797373.

The spelling of 82537640 in words is "eighty-two million, five hundred thirty-seven thousand, six hundred forty".