869248080 has 240 divisors, whose sum is σ = 3158797824. Its totient is φ = 213381120.

The previous prime is 869248013. The next prime is 869248087. The reversal of 869248080 is 80842968.

It is a happy number.

869248080 is a `hidden beast` number, since 8 + 6 + 92 + 480 + 80 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869248087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574525 + ... + 576035.

Almost surely, 2^869248080 is an apocalyptic number.

869248080 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 869248080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579398912).

869248080 is an abundant number, since it is smaller than the sum of its proper divisors (2289549744).

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

869248080 is a wasteful number, since it uses less digits than its factorization.

869248080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 869248080 is about 29483.0134145070. The cubic root of 869248080 is about 954.3651674846.

The spelling of 869248080 in words is "eight hundred sixty-nine million, two hundred forty-eight thousand, eighty".