869248640 has 128 divisors (see below), whose sum is σ = 2253726720. Its totient is φ = 318689280.

The previous prime is 869248631. The next prime is 869248643. The reversal of 869248640 is 46842968.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (869248643) 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, 1588847 + ... + 1589393.

It is an arithmetic number, because the mean of its divisors is an integer number (17607240).

Almost surely, 2^869248640 is an apocalyptic number.

869248640 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 869248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126863360).

869248640 is an abundant number, since it is smaller than the sum of its proper divisors (1384478080).

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

869248640 is a wasteful number, since it uses less digits than its factorization.

869248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The square root of 869248640 is about 29483.0229114994. The cubic root of 869248640 is about 954.3653724297.

The spelling of 869248640 in words is "eight hundred sixty-nine million, two hundred forty-eight thousand, six hundred forty".