887667144 has 192 divisors, whose sum is σ = 2871267840. Its totient is φ = 226437120.

The previous prime is 887667107. The next prime is 887667199. The reversal of 887667144 is 441766788.

It is a happy number.

887667144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472992 + ... + 474864.

It is an arithmetic number, because the mean of its divisors is an integer number (14954520).

Almost surely, 2^887667144 is an apocalyptic number.

887667144 is a gapful number since it is divisible by the number (84) 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 887667144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435633920).

887667144 is an abundant number, since it is smaller than the sum of its proper divisors (1983600696).

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

887667144 is a wasteful number, since it uses less digits than its factorization.

887667144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1929 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 887667144 is about 29793.7433700433. The cubic root of 887667144 is about 961.0589962998.

The spelling of 887667144 in words is "eight hundred eighty-seven million, six hundred sixty-seven thousand, one hundred forty-four".