581630742 has 96 divisors (see below), whose sum is σ = 1621960704. Its totient is φ = 146188800.

The previous prime is 581630729. The next prime is 581630743. The reversal of 581630742 is 247036185.

581630742 is a `hidden beast` number, since 581 + 6 + 3 + 0 + 74 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 581630697 and 581630706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581630743) 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, 36198 + ... + 49734.

It is an arithmetic number, because the mean of its divisors is an integer number (16895424).

Almost surely, 2^581630742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 581630742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810980352).

581630742 is an abundant number, since it is smaller than the sum of its proper divisors (1040329962).

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

581630742 is a wasteful number, since it uses less digits than its factorization.

581630742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13594 (or 13591 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 581630742 is about 24117.0218310636. The cubic root of 581630742 is about 834.7359495922.

The spelling of 581630742 in words is "five hundred eighty-one million, six hundred thirty thousand, seven hundred forty-two".