89681280 has 128 divisors (see below), whose sum is σ = 307933920. Its totient is φ = 22069248.

The previous prime is 89681269. The next prime is 89681281. The reversal of 89681280 is 8218698.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89681281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23164 + ... + 26756.

Almost surely, 2^89681280 is an apocalyptic number.

89681280 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 89681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153966960).

89681280 is an abundant number, since it is smaller than the sum of its proper divisors (218252640).

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

89681280 is a wasteful number, since it uses less digits than its factorization.

89681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 89681280 is about 9470.0200633367. The cubic root of 89681280 is about 447.6108440297.

The spelling of 89681280 in words is "eighty-nine million, six hundred eighty-one thousand, two hundred eighty".