89419200 has 168 divisors, whose sum is σ = 316156848. Its totient is φ = 21995520.

The previous prime is 89419199. The next prime is 89419207. The reversal of 89419200 is 291498.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89419207) 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, 61684 + ... + 63116.

It is an arithmetic number, because the mean of its divisors is an integer number (1881886).

Almost surely, 2^89419200 is an apocalyptic number.

89419200 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 89419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158078424).

89419200 is an abundant number, since it is smaller than the sum of its proper divisors (226737648).

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

89419200 is a wasteful number, since it uses less digits than its factorization.

89419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 89419200 is about 9456.1725872575. The cubic root of 89419200 is about 447.1743935637.

The spelling of 89419200 in words is "eighty-nine million, four hundred nineteen thousand, two hundred".