889673400 has 576 divisors, whose sum is σ = 3830112000. Its totient is φ = 183456000.

The previous prime is 889673383. The next prime is 889673417. The reversal of 889673400 is 4376988.

It is a happy number.

889673400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (889673383) and next prime (889673417).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6791335 + ... + 6791465.

It is an arithmetic number, because the mean of its divisors is an integer number (6649500).

Almost surely, 2^889673400 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 889673400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915056000).

889673400 is an abundant number, since it is smaller than the sum of its proper divisors (2940438600).

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

889673400 is a wasteful number, since it uses less digits than its factorization.

889673400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 889673400 is about 29827.3934496462. The cubic root of 889673400 is about 961.7824955657.

The spelling of 889673400 in words is "eight hundred eighty-nine million, six hundred seventy-three thousand, four hundred".