869212968 has 144 divisors (see below), whose sum is σ = 2442303360. Its totient is φ = 257662080.

The previous prime is 869212963. The next prime is 869213003.

869212968 is nontrivially palindromic in base 10.

869212968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 869212968.

It is not an unprimeable number, because it can be changed into a prime (869212961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3897705 + ... + 3897927.

It is an arithmetic number, because the mean of its divisors is an integer number (16960440).

Almost surely, 2^869212968 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 869212968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221151680).

869212968 is an abundant number, since it is smaller than the sum of its proper divisors (1573090392).

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

869212968 is a wasteful number, since it uses less digits than its factorization.

869212968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 272 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 869212968 is about 29482.4179469731. The cubic root of 869212968 is about 954.3523172517.

The spelling of 869212968 in words is "eight hundred sixty-nine million, two hundred twelve thousand, nine hundred sixty-eight".