82585440 has 192 divisors, whose sum is σ = 330462720. Its totient is φ = 18869760.

The previous prime is 82585429. The next prime is 82585441. The reversal of 82585440 is 4458528.

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 = 82585395 and 82585404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82585441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28875 + ... + 31605.

It is an arithmetic number, because the mean of its divisors is an integer number (1721160).

Almost surely, 2^82585440 is an apocalyptic number.

82585440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165231360).

82585440 is an abundant number, since it is smaller than the sum of its proper divisors (247877280).

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

82585440 is a wasteful number, since it uses less digits than its factorization.

82585440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2748 counting only the distinct ones).

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

The square root of 82585440 is about 9087.6531623957. The cubic root of 82585440 is about 435.4796136900.

The spelling of 82585440 in words is "eighty-two million, five hundred eighty-five thousand, four hundred forty".