869768064 has 256 divisors, whose sum is σ = 2837721600. Its totient is φ = 260075520.

The previous prime is 869768033. The next prime is 869768077. The reversal of 869768064 is 460867968.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 869768064.

It is a congruent number.

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, 5208109 + ... + 5208275.

It is an arithmetic number, because the mean of its divisors is an integer number (11084850).

Almost surely, 2^869768064 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 869768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418860800).

869768064 is an abundant number, since it is smaller than the sum of its proper divisors (1967953536).

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

869768064 is a wasteful number, since it uses less digits than its factorization.

869768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 869768064 is about 29491.8304620110. The cubic root of 869768064 is about 954.5554298920. Note that the first 3 decimals are identical.

The spelling of 869768064 in words is "eight hundred sixty-nine million, seven hundred sixty-eight thousand, sixty-four".