581164416 has 128 divisors (see below), whose sum is σ = 1960358400. Its totient is φ = 166040064.

The previous prime is 581164361. The next prime is 581164417. The reversal of 581164416 is 614461185.

581164416 is a `hidden beast` number, since 5 + 8 + 1 + 1 + 644 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581164417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12181 + ... + 36203.

It is an arithmetic number, because the mean of its divisors is an integer number (15315300).

Almost surely, 2^581164416 is an apocalyptic number.

581164416 is a gapful number since it is divisible by the number (56) 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 581164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980179200).

581164416 is an abundant number, since it is smaller than the sum of its proper divisors (1379193984).

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

581164416 is a wasteful number, since it uses less digits than its factorization.

581164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24053 (or 24035 counting only the distinct ones).

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

The square root of 581164416 is about 24107.3519076650. The cubic root of 581164416 is about 834.5128050637.

The spelling of 581164416 in words is "five hundred eighty-one million, one hundred sixty-four thousand, four hundred sixteen".