581138040 has 160 divisors (see below), whose sum is σ = 2034870480. Its totient is φ = 132765696.

The previous prime is 581138039. The next prime is 581138083. The reversal of 581138040 is 40831185.

581138040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 581137989 and 581138007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 287112 + ... + 289128.

Almost surely, 2^581138040 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 581138040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017435240).

581138040 is an abundant number, since it is smaller than the sum of its proper divisors (1453732440).

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

581138040 is a wasteful number, since it uses less digits than its factorization.

581138040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 581138040 is about 24106.8048484240. The cubic root of 581138040 is about 834.5001801552.

The spelling of 581138040 in words is "five hundred eighty-one million, one hundred thirty-eight thousand, forty".