887578560 has 420 divisors, whose sum is σ = 3482653944. Its totient is φ = 214410240.

The previous prime is 887578499. The next prime is 887578567. The reversal of 887578560 is 65875788.

It is a happy number.

887578560 is a `hidden beast` number, since 8 + 8 + 7 + 5 + 78 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 887578497 and 887578506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (887578567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3136179 + ... + 3136461.

Almost surely, 2^887578560 is an apocalyptic number.

887578560 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 887578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741326972).

887578560 is an abundant number, since it is smaller than the sum of its proper divisors (2595075384).

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

887578560 is a wasteful number, since it uses less digits than its factorization.

887578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The square root of 887578560 is about 29792.2567121056. The cubic root of 887578560 is about 961.0270258768.

The spelling of 887578560 in words is "eight hundred eighty-seven million, five hundred seventy-eight thousand, five hundred sixty".