869468160 has 384 divisors, whose sum is σ = 3170119680. Its totient is φ = 201523200.

The previous prime is 869468153. The next prime is 869468167. The reversal of 869468160 is 61864968.

It is an interprime number because it is at equal distance from previous prime (869468153) and next prime (869468167).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869468167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10475479 + ... + 10475561.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^869468160 is an apocalyptic number.

869468160 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 869468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

869468160 is an abundant number, since it is smaller than the sum of its proper divisors (2300651520).

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

869468160 is a wasteful number, since it uses less digits than its factorization.

869468160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 869468160 is about 29486.7454969178. The cubic root of 869468160 is about 954.4457041260.

The spelling of 869468160 in words is "eight hundred sixty-nine million, four hundred sixty-eight thousand, one hundred sixty".