259986672 has 120 divisors (see below), whose sum is σ = 823280640. Its totient is φ = 78770880.

The previous prime is 259986667. The next prime is 259986689. The reversal of 259986672 is 276689952.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39729 + ... + 45807.

It is an arithmetic number, because the mean of its divisors is an integer number (6860672).

Almost surely, 2^259986672 is an apocalyptic number.

259986672 is a gapful number since it is divisible by the number (22) 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 259986672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411640320).

259986672 is an abundant number, since it is smaller than the sum of its proper divisors (563293968).

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

259986672 is a wasteful number, since it uses less digits than its factorization.

259986672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6113 (or 6095 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 259986672 is about 16124.1022075649. The cubic root of 259986672 is about 638.2395238000.

The spelling of 259986672 in words is "two hundred fifty-nine million, nine hundred eighty-six thousand, six hundred seventy-two".