89631360 has 640 divisors, whose sum is σ = 414691200. Its totient is φ = 17915904.

The previous prime is 89631349. The next prime is 89631389. The reversal of 89631360 is 6313698.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4717431 + ... + 4717449.

It is an arithmetic number, because the mean of its divisors is an integer number (647955).

Almost surely, 2^89631360 is an apocalyptic number.

89631360 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 89631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207345600).

89631360 is an abundant number, since it is smaller than the sum of its proper divisors (325059840).

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

89631360 is a wasteful number, since it uses less digits than its factorization.

89631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 89631360 is about 9467.3840103801. The cubic root of 89631360 is about 447.5277762271.

The spelling of 89631360 in words is "eighty-nine million, six hundred thirty-one thousand, three hundred sixty".