89013400 has 144 divisors (see below), whose sum is σ = 249359040. Its totient is φ = 29433600.

The previous prime is 89013391. The next prime is 89013401. The reversal of 89013400 is 431098.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89013401) 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 35 ways as a sum of consecutive naturals, for example, 303654 + ... + 303946.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 2^89013400 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 89013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124679520).

89013400 is an abundant number, since it is smaller than the sum of its proper divisors (160345640).

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

89013400 is a wasteful number, since it uses less digits than its factorization.

89013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 89013400 is about 9434.6913039060. The cubic root of 89013400 is about 446.4969157689.

Adding to 89013400 its reverse (431098), we get a palindrome (89444498).

The spelling of 89013400 in words is "eighty-nine million, thirteen thousand, four hundred".