259910640 has 160 divisors (see below), whose sum is σ = 976723200. Its totient is φ = 63002880.

The previous prime is 259910593. The next prime is 259910641. The reversal of 259910640 is 46019952.

259910640 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 1 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 259910595 and 259910604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259910641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18291 + ... + 29229.

It is an arithmetic number, because the mean of its divisors is an integer number (6104520).

Almost surely, 2^259910640 is an apocalyptic number.

259910640 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 259910640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488361600).

259910640 is an abundant number, since it is smaller than the sum of its proper divisors (716812560).

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

259910640 is a wasteful number, since it uses less digits than its factorization.

259910640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972 (or 10960 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 259910640 is about 16121.7443224981. The cubic root of 259910640 is about 638.1773009197.

The spelling of 259910640 in words is "two hundred fifty-nine million, nine hundred ten thousand, six hundred forty".