869111040 has 432 divisors, whose sum is σ = 3355430400. Its totient is φ = 190955520.

The previous prime is 869111039. The next prime is 869111059. The reversal of 869111040 is 40111968.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 869110989 and 869111007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5832886 + ... + 5833034.

It is an arithmetic number, because the mean of its divisors is an integer number (7767200).

Almost surely, 2^869111040 is an apocalyptic number.

869111040 is a gapful number since it is divisible by the number (80) 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 869111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677715200).

869111040 is an abundant number, since it is smaller than the sum of its proper divisors (2486319360).

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

869111040 is a wasteful number, since it uses less digits than its factorization.

869111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 869111040 is about 29480.6892728104. The cubic root of 869111040 is about 954.3150118466.

The spelling of 869111040 in words is "eight hundred sixty-nine million, one hundred eleven thousand, forty".