875259648 has 144 divisors (see below), whose sum is σ = 2609779200. Its totient is φ = 289336320.

The previous prime is 875259647. The next prime is 875259661. The reversal of 875259648 is 846952578.

875259648 is a `hidden beast` number, since 8 + 7 + 5 + 2 + 596 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 875259594 and 875259603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875259647) 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, 960313 + ... + 961223.

Almost surely, 2^875259648 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 875259648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304889600).

875259648 is an abundant number, since it is smaller than the sum of its proper divisors (1734519552).

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

875259648 is a wasteful number, since it uses less digits than its factorization.

875259648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1055 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 875259648 is about 29584.7874421974. The cubic root of 875259648 is about 956.5601894118.

The spelling of 875259648 in words is "eight hundred seventy-five million, two hundred fifty-nine thousand, six hundred forty-eight".