875520 has 132 divisors (see below), whose sum is σ = 3193320. Its totient is φ = 221184.

The previous prime is 875519. The next prime is 875521. The reversal of 875520 is 25578.

875520 = 45² + 46² + ... + 139².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (875519) and next prime (875521).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46071 + ... + 46089.

2⁸⁷⁵⁵²⁰ is an apocalyptic number.

875520 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 875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596660).

875520 is an abundant number, since it is smaller than the sum of its proper divisors (2317800).

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

875520 is a wasteful number, since it uses less digits than its factorization.

875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 875520 is about 935.6922571017. The cubic root of 875520 is about 95.6655025144.

The spelling of 875520 in words is "eight hundred seventy-five thousand, five hundred twenty".