869767968 has 48 divisors (see below), whose sum is σ = 2289591360. Its totient is φ = 289103616.

The previous prime is 869767967. The next prime is 869767993.

It is a happy number.

869767968 is nontrivially palindromic in base 10.

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

It is a super-3 number, since 3×869767968³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 869767899 and 869767908.

It is not an unprimeable number, because it can be changed into a prime (869767967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21846 + ... + 47082.

It is an arithmetic number, because the mean of its divisors is an integer number (47699820).

Almost surely, 2^869767968 is an apocalyptic number.

It is an amenable number.

869767968 is an abundant number, since it is smaller than the sum of its proper divisors (1419823392).

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

869767968 is a wasteful number, since it uses less digits than its factorization.

869767968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25609 (or 25601 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 66.

The square root of 869767968 is about 29491.8288344416. The cubic root of 869767968 is about 954.5553947726. Note that the first 3 decimals are identical.

The spelling of 869767968 in words is "eight hundred sixty-nine million, seven hundred sixty-seven thousand, nine hundred sixty-eight".