89356800 has 240 divisors, whose sum is σ = 319667040. Its totient is φ = 21872640.

The previous prime is 89356789. The next prime is 89356807. The reversal of 89356800 is 865398.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (89356807) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 499111 + ... + 499289.

It is an arithmetic number, because the mean of its divisors is an integer number (1331946).

Almost surely, 2^89356800 is an apocalyptic number.

89356800 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 89356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159833520).

89356800 is an abundant number, since it is smaller than the sum of its proper divisors (230310240).

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

89356800 is a wasteful number, since it uses less digits than its factorization.

89356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 89356800 is about 9452.8725792745. The cubic root of 89356800 is about 447.0703511231.

The spelling of 89356800 in words is "eighty-nine million, three hundred fifty-six thousand, eight hundred".