889673760 has 192 divisors, whose sum is σ = 3190440960. Its totient is φ = 231413760.

The previous prime is 889673737. The next prime is 889673773. The reversal of 889673760 is 67376988.

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 = 889673697 and 889673706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174609 + ... + 179631.

It is an arithmetic number, because the mean of its divisors is an integer number (16616880).

Almost surely, 2^889673760 is an apocalyptic number.

889673760 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 889673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595220480).

889673760 is an abundant number, since it is smaller than the sum of its proper divisors (2300767200).

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

889673760 is a wasteful number, since it uses less digits than its factorization.

889673760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5088 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 889673760 is about 29827.3994843667. The cubic root of 889673760 is about 961.7826252918.

The spelling of 889673760 in words is "eight hundred eighty-nine million, six hundred seventy-three thousand, seven hundred sixty".