89834400 has 144 divisors (see below), whose sum is σ = 324979200. Its totient is φ = 23950080.

The previous prime is 89834387. The next prime is 89834401. The reversal of 89834400 is 443898.

It is a tau number, because it is divible by the number of its divisors (144).

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 (89834401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19521 + ... + 23679.

It is an arithmetic number, because the mean of its divisors is an integer number (2256800).

Almost surely, 2^89834400 is an apocalyptic number.

89834400 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 89834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

89834400 is an abundant number, since it is smaller than the sum of its proper divisors (235144800).

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

89834400 is a wasteful number, since it uses less digits than its factorization.

89834400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 89834400 is about 9478.1010756375. The cubic root of 89834400 is about 447.8654464116.

The spelling of 89834400 in words is "eighty-nine million, eight hundred thirty-four thousand, four hundred".