869626968 has 128 divisors (see below), whose sum is σ = 2559237120. Its totient is φ = 241113600.

The previous prime is 869626943. The next prime is 869626981.

869626968 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×869626968³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898821 + ... + 899787.

It is an arithmetic number, because the mean of its divisors is an integer number (19994040).

Almost surely, 2^869626968 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 869626968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279618560).

869626968 is an abundant number, since it is smaller than the sum of its proper divisors (1689610152).

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

869626968 is a wasteful number, since it uses less digits than its factorization.

869626968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1133 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 60.

The square root of 869626968 is about 29489.4382449039. The cubic root of 869626968 is about 954.5038102929.

The spelling of 869626968 in words is "eight hundred sixty-nine million, six hundred twenty-six thousand, nine hundred sixty-eight".