89712000 has 384 divisors, whose sum is σ = 372340800. Its totient is φ = 20275200.

The previous prime is 89711981. The next prime is 89712017. The reversal of 89712000 is 21798.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1007956 + ... + 1008044.

Almost surely, 2^89712000 is an apocalyptic number.

89712000 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 89712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186170400).

89712000 is an abundant number, since it is smaller than the sum of its proper divisors (282628800).

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

89712000 is a wasteful number, since it uses less digits than its factorization.

89712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 89712000 is about 9471.6418851221. The cubic root of 89712000 is about 447.6619473567.

Adding to 89712000 its reverse (21798), we get a palindrome (89733798).

The spelling of 89712000 in words is "eighty-nine million, seven hundred twelve thousand".