869919264 has 240 divisors, whose sum is σ = 2700371520. Its totient is φ = 274337280.

The previous prime is 869919251. The next prime is 869919277. The reversal of 869919264 is 462919968.

869919264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (869919251) and next prime (869919277).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 869919264.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5336847 + ... + 5337009.

It is an arithmetic number, because the mean of its divisors is an integer number (11251548).

Almost surely, 2^869919264 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 869919264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350185760).

869919264 is an abundant number, since it is smaller than the sum of its proper divisors (1830452256).

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

869919264 is a wasteful number, since it uses less digits than its factorization.

869919264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 869919264 is about 29494.3937723765. The cubic root of 869919264 is about 954.6107398168.

The spelling of 869919264 in words is "eight hundred sixty-nine million, nine hundred nineteen thousand, two hundred sixty-four".