887640000 has 280 divisors, whose sum is σ = 3166049040. Its totient is φ = 218112000.

The previous prime is 887639983. The next prime is 887640011. The reversal of 887640000 is 46788.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1559716 + ... + 1560284.

It is an arithmetic number, because the mean of its divisors is an integer number (11307318).

Almost surely, 2^887640000 is an apocalyptic number.

887640000 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 887640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583024520).

887640000 is an abundant number, since it is smaller than the sum of its proper divisors (2278409040).

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

887640000 is a wasteful number, since it uses less digits than its factorization.

887640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 887640000 is about 29793.2878346785. The cubic root of 887640000 is about 961.0492001161.

Adding to 887640000 its reverse (46788), we get a palindrome (887686788).

The spelling of 887640000 in words is "eight hundred eighty-seven million, six hundred forty thousand".