875068560 has 240 divisors, whose sum is σ = 3161583360. Its totient is φ = 216207360.

The previous prime is 875068549. The next prime is 875068583. The reversal of 875068560 is 65860578.

875068560 is a `hidden beast` number, since 8 + 7 + 506 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642280 + ... + 643640.

It is an arithmetic number, because the mean of its divisors is an integer number (13173264).

Almost surely, 2^875068560 is an apocalyptic number.

875068560 is a gapful number since it is divisible by the number (80) 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 875068560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580791680).

875068560 is an abundant number, since it is smaller than the sum of its proper divisors (2286514800).

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

875068560 is a wasteful number, since it uses less digits than its factorization.

875068560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 875068560 is about 29581.5577683123. The cubic root of 875068560 is about 956.4905717932.

The spelling of 875068560 in words is "eight hundred seventy-five million, sixty-eight thousand, five hundred sixty".