259164672 has 80 divisors (see below), whose sum is σ = 743598240. Its totient is φ = 79736832.

The previous prime is 259164641. The next prime is 259164679. The reversal of 259164672 is 276461952.

It is not an unprimeable number, because it can be changed into a prime (259164679) 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 7 ways as a sum of consecutive naturals, for example, 13479 + ... + 26457.

It is an arithmetic number, because the mean of its divisors is an integer number (9294978).

Almost surely, 2^259164672 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 259164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371799120).

259164672 is an abundant number, since it is smaller than the sum of its proper divisors (484433568).

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

259164672 is a wasteful number, since it uses less digits than its factorization.

259164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13013 (or 12997 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 259164672 is about 16098.5922365901. The cubic root of 259164672 is about 637.5661729080.

The spelling of 259164672 in words is "two hundred fifty-nine million, one hundred sixty-four thousand, six hundred seventy-two".