89952000 has 144 divisors (see below), whose sum is σ = 299094432. Its totient is φ = 23961600.

The previous prime is 89951977. The next prime is 89952013. The reversal of 89952000 is 25998.

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 15 ways as a sum of consecutive naturals, for example, 95532 + ... + 96468.

Almost surely, 2^89952000 is an apocalyptic number.

89952000 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 89952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149547216).

89952000 is an abundant number, since it is smaller than the sum of its proper divisors (209142432).

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

89952000 is an equidigital number, since it uses as much as digits as its factorization.

89952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 89952000 is about 9484.3028209774. The cubic root of 89952000 is about 448.0607910703.

Adding to 89952000 its reverse (25998), we get a palindrome (89977998).

The spelling of 89952000 in words is "eighty-nine million, nine hundred fifty-two thousand".