887112000 has 420 divisors, whose sum is σ = 3372933564. Its totient is φ = 230169600.

The previous prime is 887111999. The next prime is 887112011. The reversal of 887112000 is 211788.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 19927296 + 867184704 = 4464^2 + 29448^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23975982 + ... + 23976018.

Almost surely, 2^887112000 is an apocalyptic number.

887112000 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 887112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686466782).

887112000 is an abundant number, since it is smaller than the sum of its proper divisors (2485821564).

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

887112000 is an equidigital number, since it uses as much as digits as its factorization.

887112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 887112000 is about 29784.4254602972. The cubic root of 887112000 is about 960.8586068484.

Adding to 887112000 its reverse (211788), we get a palindrome (887323788).

The spelling of 887112000 in words is "eight hundred eighty-seven million, one hundred twelve thousand".