869616040 has 64 divisors (see below), whose sum is σ = 2032678800. Its totient is φ = 334430208.

The previous prime is 869616029. The next prime is 869616049. The reversal of 869616040 is 40616968.

869616040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 852756804 + 16859236 = 29202^2 + 4106^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 869615984 and 869616002.

It is not an unprimeable number, because it can be changed into a prime (869616049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296662 + ... + 299578.

Almost surely, 2^869616040 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 869616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016339400).

869616040 is an abundant number, since it is smaller than the sum of its proper divisors (1163062760).

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

869616040 is a wasteful number, since it uses less digits than its factorization.

869616040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 869616040 is about 29489.2529576454. The cubic root of 869616040 is about 954.4998120799.

The spelling of 869616040 in words is "eight hundred sixty-nine million, six hundred sixteen thousand, forty".