889630560 has 768 divisors, whose sum is σ = 4010065920. Its totient is φ = 179159040.

The previous prime is 889630541. The next prime is 889630583. The reversal of 889630560 is 65036988.

889630560 is a `hidden beast` number, since 8 + 8 + 9 + 630 + 5 + 6 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 12186684 + ... + 12186756.

It is an arithmetic number, because the mean of its divisors is an integer number (5221440).

Almost surely, 2^889630560 is an apocalyptic number.

889630560 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 889630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005032960).

889630560 is an abundant number, since it is smaller than the sum of its proper divisors (3120435360).

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

889630560 is a wasteful number, since it uses less digits than its factorization.

889630560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 889630560 is about 29826.6753091926. The cubic root of 889630560 is about 961.7670579068.

The spelling of 889630560 in words is "eight hundred eighty-nine million, six hundred thirty thousand, five hundred sixty".