875313216 has 196 divisors, whose sum is σ = 2650179612. Its totient is φ = 286654464.

The previous prime is 875313211. The next prime is 875313247. The reversal of 875313216 is 612313578.

875313216 is a `hidden beast` number, since 87 + 531 + 32 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 729000000 + 146313216 = 27000^2 + 12096^2 .

It is a super-2 number, since 2×875313216² = 1532346452208525312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30240) is a multiple of the sum of its prime factors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875313211) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3405760 + ... + 3406016.

Almost surely, 2^875313216 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 875313216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325089806).

875313216 is an abundant number, since it is smaller than the sum of its proper divisors (1774866396).

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

875313216 is an equidigital number, since it uses as much as digits as its factorization.

875313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 335 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 875313216 is about 29585.6927584939. The cubic root of 875313216 is about 956.5797036101.

The spelling of 875313216 in words is "eight hundred seventy-five million, three hundred thirteen thousand, two hundred sixteen".