259628640 has 96 divisors (see below), whose sum is σ = 824463360. Its totient is φ = 68673024.

The previous prime is 259628617. The next prime is 259628647. The reversal of 259628640 is 46826952.

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

It is a junction number, because it is equal to n+sod(n) for n = 259628592 and 259628601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259628647) 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, 58831 + ... + 63089.

It is an arithmetic number, because the mean of its divisors is an integer number (8588160).

Almost surely, 2^259628640 is an apocalyptic number.

259628640 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 259628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412231680).

259628640 is an abundant number, since it is smaller than the sum of its proper divisors (564834720).

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

259628640 is a wasteful number, since it uses less digits than its factorization.

259628640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4404 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 259628640 is about 16112.9959970205. The cubic root of 259628640 is about 637.9464124303.

The spelling of 259628640 in words is "two hundred fifty-nine million, six hundred twenty-eight thousand, six hundred forty".