259641120 has 96 divisors (see below), whose sum is σ = 844300800. Its totient is φ = 67000320.

The previous prime is 259641103. The next prime is 259641121. The reversal of 259641120 is 21146952.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×259641120² = 134827022389708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (259641121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6156 + ... + 23604.

It is an arithmetic number, because the mean of its divisors is an integer number (8794800).

Almost surely, 2^259641120 is an apocalyptic number.

259641120 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 259641120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422150400).

259641120 is an abundant number, since it is smaller than the sum of its proper divisors (584659680).

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

259641120 is a wasteful number, since it uses less digits than its factorization.

259641120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17498 (or 17490 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 259641120 is about 16113.3832574044. The cubic root of 259641120 is about 637.9566340089.

The spelling of 259641120 in words is "two hundred fifty-nine million, six hundred forty-one thousand, one hundred twenty".