875616 has 48 divisors (see below), whose sum is σ = 2628864. Its totient is φ = 249984.

The previous prime is 875593. The next prime is 875617. The reversal of 875616 is 616578.

875616 = 84² + 85² + ... + 147².

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875617) by changing a digit.

875616 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 7 ways as a sum of consecutive naturals, for example, 21 + ... + 1323.

It is an arithmetic number, because the mean of its divisors is an integer number (54768).

2⁸⁷⁵⁶¹⁶ 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 875616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314432).

875616 is an abundant number, since it is smaller than the sum of its proper divisors (1753248).

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

875616 is a wasteful number, since it uses less digits than its factorization.

875616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1315 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 875616 is about 935.7435546131. The cubic root of 875616 is about 95.6689989328.

The spelling of 875616 in words is "eight hundred seventy-five thousand, six hundred sixteen".