259881720 has 128 divisors (see below), whose sum is σ = 943488000. Its totient is φ = 55904256.

The previous prime is 259881719. The next prime is 259881749. The reversal of 259881720 is 27188952.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5181 + ... + 23379.

It is an arithmetic number, because the mean of its divisors is an integer number (7371000).

Almost surely, 2^259881720 is an apocalyptic number.

259881720 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 259881720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744000).

259881720 is an abundant number, since it is smaller than the sum of its proper divisors (683606280).

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

259881720 is a wasteful number, since it uses less digits than its factorization.

259881720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18237 (or 18233 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 259881720 is about 16120.8473722692. The cubic root of 259881720 is about 638.1536302559.

The spelling of 259881720 in words is "two hundred fifty-nine million, eight hundred eighty-one thousand, seven hundred twenty".