89241600 has 288 divisors, whose sum is σ = 341228160. Its totient is φ = 20152320.

The previous prime is 89241583. The next prime is 89241611. The reversal of 89241600 is 614298.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1075159 + ... + 1075241.

It is an arithmetic number, because the mean of its divisors is an integer number (1184820).

Almost surely, 2^89241600 is an apocalyptic number.

89241600 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 89241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

89241600 is an abundant number, since it is smaller than the sum of its proper divisors (251986560).

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

89241600 is a wasteful number, since it uses less digits than its factorization.

89241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 89241600 is about 9446.7772282403. Note that the first 3 decimals coincide. The cubic root of 89241600 is about 446.8781454454.

Adding to 89241600 its reverse (614298), we get a palindrome (89855898).

The spelling of 89241600 in words is "eighty-nine million, two hundred forty-one thousand, six hundred".