89199360 has 288 divisors, whose sum is σ = 331128000. Its totient is φ = 22708224.

The previous prime is 89199349. The next prime is 89199361. The reversal of 89199360 is 6399198.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (89199361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002196 + ... + 1002284.

It is an arithmetic number, because the mean of its divisors is an integer number (1149750).

Almost surely, 2^89199360 is an apocalyptic number.

89199360 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 89199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165564000).

89199360 is an abundant number, since it is smaller than the sum of its proper divisors (241928640).

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

89199360 is a wasteful number, since it uses less digits than its factorization.

89199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 89199360 is about 9444.5412805493. The cubic root of 89199360 is about 446.8076285871.

The spelling of 89199360 in words is "eighty-nine million, one hundred ninety-nine thousand, three hundred sixty".