875406 has 32 divisors (see below), whose sum is σ = 2108160. Its totient is φ = 236736.

The previous prime is 875393. The next prime is 875417. The reversal of 875406 is 604578.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 875406.

It is an unprimeable number.

875406 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250 + ... + 1346.

It is an arithmetic number, because the mean of its divisors is an integer number (65880).

2⁸⁷⁵⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054080).

875406 is an abundant number, since it is smaller than the sum of its proper divisors (1232754).

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

875406 is a wasteful number, since it uses less digits than its factorization.

875406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 875406 is about 935.6313376539. The cubic root of 875406 is about 95.6613501857.

The spelling of 875406 in words is "eight hundred seventy-five thousand, four hundred six".