259613640 has 384 divisors, whose sum is σ = 1042070400. Its totient is φ = 56678400.

The previous prime is 259613633. The next prime is 259613659. The reversal of 259613640 is 46316952.

It is a happy number.

259613640 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 1 + 3 + 640 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 259613595 and 259613604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6332020 + ... + 6332060.

It is an arithmetic number, because the mean of its divisors is an integer number (2713725).

Almost surely, 2^259613640 is an apocalyptic number.

259613640 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 259613640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521035200).

259613640 is an abundant number, since it is smaller than the sum of its proper divisors (782456760).

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

259613640 is a wasteful number, since it uses less digits than its factorization.

259613640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 259613640 is about 16112.5305275118. The cubic root of 259613640 is about 637.9341264456.

The spelling of 259613640 in words is "two hundred fifty-nine million, six hundred thirteen thousand, six hundred forty".