887964000 has 576 divisors, whose sum is σ = 3747534336. Its totient is φ = 178560000.

The previous prime is 887963977. The next prime is 887964083. The reversal of 887964000 is 469788.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 28643985 + ... + 28644015.

It is an arithmetic number, because the mean of its divisors is an integer number (6506136).

Almost surely, 2^887964000 is an apocalyptic number.

887964000 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 887964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873767168).

887964000 is an abundant number, since it is smaller than the sum of its proper divisors (2859570336).

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

887964000 is a wasteful number, since it uses less digits than its factorization.

887964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 887964000 is about 29798.7248049308. The cubic root of 887964000 is about 961.1661176587.

The spelling of 887964000 in words is "eight hundred eighty-seven million, nine hundred sixty-four thousand".