867969768 has 128 divisors (see below), whose sum is σ = 2384640000. Its totient is φ = 262386432.

The previous prime is 867969757. The next prime is 867969779.

It is a happy number.

867969768 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (867969757) and next prime (867969779).

It is a junction number, because it is equal to n+sod(n) for n = 867969699 and 867969708.

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, 944013 + ... + 944931.

It is an arithmetic number, because the mean of its divisors is an integer number (18630000).

Almost surely, 2^867969768 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 867969768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192320000).

867969768 is an abundant number, since it is smaller than the sum of its proper divisors (1516670232).

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

867969768 is a wasteful number, since it uses less digits than its factorization.

867969768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1035 counting only the distinct ones).

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

The square root of 867969768 is about 29461.3266503734. The cubic root of 867969768 is about 953.8971097101.

The spelling of 867969768 in words is "eight hundred sixty-seven million, nine hundred sixty-nine thousand, seven hundred sixty-eight".