581970040 has 64 divisors (see below), whose sum is σ = 1365127200. Its totient is φ = 223077888.

The previous prime is 581970029. The next prime is 581970047. The reversal of 581970040 is 40079185.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 581969978 and 581970005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581970047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96226 + ... + 102094.

Almost surely, 2^581970040 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 581970040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682563600).

581970040 is an abundant number, since it is smaller than the sum of its proper divisors (783157160).

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

581970040 is a wasteful number, since it uses less digits than its factorization.

581970040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 581970040 is about 24124.0552146607. The cubic root of 581970040 is about 834.8982342183.

The spelling of 581970040 in words is "five hundred eighty-one million, nine hundred seventy thousand, forty".