889056000 has 720 divisors, whose sum is σ = 3858254400. Its totient is φ = 203212800.

The previous prime is 889055963. The next prime is 889056019. The reversal of 889056000 is 650988.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

889056000 is a `hidden beast` number, since 8 + 8 + 90 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×889056000² = 1580841142272000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 127007997 + ... + 127008003.

Almost surely, 2^889056000 is an apocalyptic number.

889056000 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 889056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929127200).

889056000 is an abundant number, since it is smaller than the sum of its proper divisors (2969198400).

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

889056000 is an frugal number, since it uses more digits than its factorization.

889056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 889056000 is about 29817.0421068221. The cubic root of 889056000 is about 961.5599637448.

The spelling of 889056000 in words is "eight hundred eighty-nine million, fifty-six thousand".