89856000 has 384 divisors, whose sum is σ = 357739200. Its totient is φ = 22118400.

The previous prime is 89855993. The next prime is 89856001. The reversal of 89856000 is 65898.

89856000 is a `hidden beast` number, since 8 + 98 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89856001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6911994 + ... + 6912006.

Almost surely, 2^89856000 is an apocalyptic number.

89856000 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 89856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178869600).

89856000 is an abundant number, since it is smaller than the sum of its proper divisors (267883200).

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

89856000 is a wasteful number, since it uses less digits than its factorization.

89856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

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

The square root of 89856000 is about 9479.2404759031. The cubic root of 89856000 is about 447.9013388181.

The spelling of 89856000 in words is "eighty-nine million, eight hundred fifty-six thousand".