869328000 has 192 divisors, whose sum is σ = 3122491320. Its totient is φ = 231782400.

The previous prime is 869327969. The next prime is 869328001. The reversal of 869328000 is 823968.

It can be written as a sum of positive squares in 4 ways, for example, as 137733696 + 731594304 = 11736^2 + 27048^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (869328001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140982 + ... + 147018.

Almost surely, 2^869328000 is an apocalyptic number.

869328000 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 869328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561245660).

869328000 is an abundant number, since it is smaller than the sum of its proper divisors (2253163320).

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

869328000 is a wasteful number, since it uses less digits than its factorization.

869328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 869328000 is about 29484.3687400629. The cubic root of 869328000 is about 954.3944151868.

The spelling of 869328000 in words is "eight hundred sixty-nine million, three hundred twenty-eight thousand".