869067144 has 448 divisors, whose sum is σ = 3021926400. Its totient is φ = 230947200.

The previous prime is 869067127. The next prime is 869067181. The reversal of 869067144 is 441760968.

869067144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 869067144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 28034409 + ... + 28034439.

Almost surely, 2^869067144 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 869067144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510963200).

869067144 is an abundant number, since it is smaller than the sum of its proper divisors (2152859256).

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

869067144 is a wasteful number, since it uses less digits than its factorization.

869067144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 869067144 is about 29479.9447760677. The cubic root of 869067144 is about 954.2989451167.

The spelling of 869067144 in words is "eight hundred sixty-nine million, sixty-seven thousand, one hundred forty-four".