869000968 has 64 divisors (see below), whose sum is σ = 1891667520. Its totient is φ = 369868800.

The previous prime is 869000947. The next prime is 869001011.

It is a happy number.

869000968 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314280 + ... + 317032.

It is an arithmetic number, because the mean of its divisors is an integer number (29557305).

Almost surely, 2^869000968 is an apocalyptic number.

869000968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 869000968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945833760).

869000968 is an abundant number, since it is smaller than the sum of its proper divisors (1022666552).

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

869000968 is a wasteful number, since it uses less digits than its factorization.

869000968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2994 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 869000968 is about 29478.8223645382. The cubic root of 869000968 is about 954.2747224812.

It can be divided in two parts, 869000 and 968, that added together give a palindrome (869968).

The spelling of 869000968 in words is "eight hundred sixty-nine million, nine hundred sixty-eight", and thus it is an aban number.