869952000 has 320 divisors, whose sum is σ = 3033448704. Its totient is φ = 220774400.

The previous prime is 869951989. The next prime is 869952037. The reversal of 869952000 is 259968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 869952000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4415902 + ... + 4416098.

Almost surely, 2^869952000 is an apocalyptic number.

869952000 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 869952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516724352).

869952000 is an abundant number, since it is smaller than the sum of its proper divisors (2163496704).

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

869952000 is a wasteful number, since it uses less digits than its factorization.

869952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 869952000 is about 29494.9487200775. The cubic root of 869952000 is about 954.6227140104.

The spelling of 869952000 in words is "eight hundred sixty-nine million, nine hundred fifty-two thousand".