259166880 has 216 divisors, whose sum is σ = 1029080052. Its totient is φ = 59222016.

The previous prime is 259166867. The next prime is 259166893. The reversal of 259166880 is 88661952.

It is an interprime number because it is at equal distance from previous prime (259166867) and next prime (259166893).

It can be written as a sum of positive squares in 2 ways, for example, as 231161616 + 28005264 = 15204^2 + 5292^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 68724 + ... + 72396.

Almost surely, 2^259166880 is an apocalyptic number.

259166880 is a gapful number since it is divisible by the number (20) 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 259166880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514540026).

259166880 is an abundant number, since it is smaller than the sum of its proper divisors (769913172).

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

259166880 is a wasteful number, since it uses less digits than its factorization.

259166880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 259166880 is about 16098.6608138690. The cubic root of 259166880 is about 637.5679835227.

The spelling of 259166880 in words is "two hundred fifty-nine million, one hundred sixty-six thousand, eight hundred eighty".