869276160 has 240 divisors, whose sum is σ = 3116753640. Its totient is φ = 223641600.

The previous prime is 869276159. The next prime is 869276173. The reversal of 869276160 is 61672968.

869276160 is a `hidden beast` number, since 8 + 6 + 9 + 27 + 616 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 400640256 + 468635904 = 20016^2 + 21648^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 667510 + ... + 668810.

Almost surely, 2^869276160 is an apocalyptic number.

869276160 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 869276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558376820).

869276160 is an abundant number, since it is smaller than the sum of its proper divisors (2247477480).

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

869276160 is a wasteful number, since it uses less digits than its factorization.

869276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 869276160 is about 29483.4896170721. The cubic root of 869276160 is about 954.3754439086.

The spelling of 869276160 in words is "eight hundred sixty-nine million, two hundred seventy-six thousand, one hundred sixty".