259905996 has 252 divisors, whose sum is σ = 847792008. Its totient is φ = 69237504.

The previous prime is 259905991. The next prime is 259906001. The reversal of 259905996 is 699509952.

It is an interprime number because it is at equal distance from previous prime (259905991) and next prime (259906001).

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×259905996² = 135102253513504032, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (259905991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2428975 + ... + 2429081.

It is an arithmetic number, because the mean of its divisors is an integer number (3364254).

Almost surely, 2^259905996 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 259905996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423896004).

259905996 is an abundant number, since it is smaller than the sum of its proper divisors (587886012).

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

259905996 is a wasteful number, since it uses less digits than its factorization.

259905996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The square root of 259905996 is about 16121.6002927749. The cubic root of 259905996 is about 638.1734999812.

The spelling of 259905996 in words is "two hundred fifty-nine million, nine hundred five thousand, nine hundred ninety-six".