889561764 has 288 divisors, whose sum is σ = 2927957760. Its totient is φ = 229920768.

The previous prime is 889561711. The next prime is 889561787. The reversal of 889561764 is 467165988.

889561764 is a `hidden beast` number, since 8 + 8 + 9 + 561 + 76 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 889561764.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7872172 + ... + 7872284.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 2^889561764 is an apocalyptic number.

889561764 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 889561764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463978880).

889561764 is an abundant number, since it is smaller than the sum of its proper divisors (2038395996).

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

889561764 is a wasteful number, since it uses less digits than its factorization.

889561764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 889561764 is about 29825.5220239311. The cubic root of 889561764 is about 961.7422658058.

The spelling of 889561764 in words is "eight hundred eighty-nine million, five hundred sixty-one thousand, seven hundred sixty-four".