89681760 has 432 divisors, whose sum is σ = 376451712. Its totient is φ = 19353600.

The previous prime is 89681731. The next prime is 89681819. The reversal of 89681760 is 6718698.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2187340 + ... + 2187380.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 2^89681760 is an apocalyptic number.

89681760 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 89681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

89681760 is an abundant number, since it is smaller than the sum of its proper divisors (286769952).

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

89681760 is a wasteful number, since it uses less digits than its factorization.

89681760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 89681760 is about 9470.0454064381. The cubic root of 89681760 is about 447.6116426089.

The spelling of 89681760 in words is "eighty-nine million, six hundred eighty-one thousand, seven hundred sixty".