259620880 has 40 divisors (see below), whose sum is σ = 613525464. Its totient is φ = 102144000.

The previous prime is 259620869. The next prime is 259620899. The reversal of 259620880 is 88026952.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 252047376 = 2752^2 + 15876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21721 + ... + 31480.

Almost surely, 2^259620880 is an apocalyptic number.

259620880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259620880 is an abundant number, since it is smaller than the sum of its proper divisors (353904584).

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

259620880 is a wasteful number, since it uses less digits than its factorization.

259620880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53275 (or 53269 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 259620880 is about 16112.7551958068. The cubic root of 259620880 is about 637.9400565400.

The spelling of 259620880 in words is "two hundred fifty-nine million, six hundred twenty thousand, eight hundred eighty".