89014200 has 96 divisors (see below), whose sum is σ = 301052160. Its totient is φ = 21577600.

The previous prime is 89014199. The next prime is 89014201. The reversal of 89014200 is 241098.

It is an interprime number because it is at equal distance from previous prime (89014199) and next prime (89014201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89014201) 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, 144 + ... + 13343.

It is an arithmetic number, because the mean of its divisors is an integer number (3135960).

Almost surely, 2^89014200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150526080).

89014200 is an abundant number, since it is smaller than the sum of its proper divisors (212037960).

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

89014200 is a wasteful number, since it uses less digits than its factorization.

89014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13517 (or 13508 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 89014200 is about 9434.7337005344. The cubic root of 89014200 is about 446.4982533820.

Adding to 89014200 its reverse (241098), we get a palindrome (89255298).

The spelling of 89014200 in words is "eighty-nine million, fourteen thousand, two hundred".