887248768 has 128 divisors (see below), whose sum is σ = 2209075200. Its totient is φ = 346152960.

The previous prime is 887248729. The next prime is 887248771. The reversal of 887248768 is 867842788.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 471253 + ... + 473131.

It is an arithmetic number, because the mean of its divisors is an integer number (17258400).

Almost surely, 2^887248768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 887248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104537600).

887248768 is an abundant number, since it is smaller than the sum of its proper divisors (1321826432).

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

887248768 is a wasteful number, since it uses less digits than its factorization.

887248768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1936 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 58.

The square root of 887248768 is about 29786.7213368642. The cubic root of 887248768 is about 960.9079835363.

The spelling of 887248768 in words is "eight hundred eighty-seven million, two hundred forty-eight thousand, seven hundred sixty-eight".