889968060 has 144 divisors (see below), whose sum is σ = 2820636000. Its totient is φ = 235540224.

The previous prime is 889968059. The next prime is 889968061. The reversal of 889968060 is 60869988.

It is an interprime number because it is at equal distance from previous prime (889968059) and next prime (889968061).

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

It is a junction number, because it is equal to n+sod(n) for n = 889967988 and 889968006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889968061) 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 47 ways as a sum of consecutive naturals, for example, 723526 + ... + 724754.

It is an arithmetic number, because the mean of its divisors is an integer number (19587750).

Almost surely, 2^889968060 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 889968060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410318000).

889968060 is an abundant number, since it is smaller than the sum of its proper divisors (1930667940).

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

889968060 is a wasteful number, since it uses less digits than its factorization.

889968060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 889968060 is about 29832.3324599335. The cubic root of 889968060 is about 961.8886646942. Note that the first 3 decimals are identical.

The spelling of 889968060 in words is "eight hundred eighty-nine million, nine hundred sixty-eight thousand, sixty".