89258400 has 648 divisors, whose sum is σ = 416785824. Its totient is φ = 17740800.

The previous prime is 89258383. The next prime is 89258401. The reversal of 89258400 is 485298.

It is a super-3 number, since 3×89258400³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (89258401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3880789 + ... + 3880811.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 2^89258400 is an apocalyptic number.

89258400 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 89258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208392912).

89258400 is an abundant number, since it is smaller than the sum of its proper divisors (327527424).

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

89258400 is a wasteful number, since it uses less digits than its factorization.

89258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 89258400 is about 9447.6663785297. Note that the first 3 decimals coincide. The cubic root of 89258400 is about 446.9061857383.

The spelling of 89258400 in words is "eighty-nine million, two hundred fifty-eight thousand, four hundred".