875607552 has 240 divisors, whose sum is σ = 2716187760. Its totient is φ = 270729216.

The previous prime is 875607511. The next prime is 875607569. The reversal of 875607552 is 255706578.

875607552 is a `hidden beast` number, since 87 + 560 + 7 + 5 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 875607498 and 875607507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6391228 + ... + 6391364.

It is an arithmetic number, because the mean of its divisors is an integer number (11317449).

Almost surely, 2^875607552 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 875607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358093880).

875607552 is an abundant number, since it is smaller than the sum of its proper divisors (1840580208).

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

875607552 is a wasteful number, since it uses less digits than its factorization.

875607552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 875607552 is about 29590.6666366272. Note that the first 4 decimals coincide. The cubic root of 875607552 is about 956.6869125822.

The spelling of 875607552 in words is "eight hundred seventy-five million, six hundred seven thousand, five hundred fifty-two".