887631360 has 640 divisors, whose sum is σ = 3771187200. Its totient is φ = 172523520.

The previous prime is 887631359. The next prime is 887631361. The reversal of 887631360 is 63136788.

It is an interprime number because it is at equal distance from previous prime (887631359) and next prime (887631361).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (887631361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11235801 + ... + 11235879.

It is an arithmetic number, because the mean of its divisors is an integer number (5892480).

Almost surely, 2^887631360 is an apocalyptic number.

887631360 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 887631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885593600).

887631360 is an abundant number, since it is smaller than the sum of its proper divisors (2883555840).

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

887631360 is a wasteful number, since it uses less digits than its factorization.

887631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 887631360 is about 29793.1428352230. The cubic root of 887631360 is about 961.0460819255.

The spelling of 887631360 in words is "eight hundred eighty-seven million, six hundred thirty-one thousand, three hundred sixty".