889431680 has 64 divisors (see below), whose sum is σ = 2131651080. Its totient is φ = 354877440.

The previous prime is 889431661. The next prime is 889431707. The reversal of 889431680 is 86134988.

It can be written as a sum of positive squares in 4 ways, for example, as 886133824 + 3297856 = 29768^2 + 1816^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 290960 + ... + 294000.

Almost surely, 2^889431680 is an apocalyptic number.

889431680 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 889431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065825540).

889431680 is an abundant number, since it is smaller than the sum of its proper divisors (1242219400).

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

889431680 is a wasteful number, since it uses less digits than its factorization.

889431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The square root of 889431680 is about 29823.3411944403. The cubic root of 889431680 is about 961.6953837773.

The spelling of 889431680 in words is "eight hundred eighty-nine million, four hundred thirty-one thousand, six hundred eighty".