82590840 has 192 divisors, whose sum is σ = 288943200. Its totient is φ = 21192192.

The previous prime is 82590803. The next prime is 82590841. The reversal of 82590840 is 4809528.

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 = 82590795 and 82590804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82590841) 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, 281734 + ... + 282026.

Almost surely, 2^82590840 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 82590840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471600).

82590840 is an abundant number, since it is smaller than the sum of its proper divisors (206352360).

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

82590840 is a wasteful number, since it uses less digits than its factorization.

82590840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82590840 is about 9087.9502639484. The cubic root of 82590840 is about 435.4891050267.

The spelling of 82590840 in words is "eighty-two million, five hundred ninety thousand, eight hundred forty".