89827968 has 64 divisors (see below), whose sum is σ = 239904000. Its totient is φ = 29779968.

The previous prime is 89827963. The next prime is 89827979. The reversal of 89827968 is 86972898.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (89827961) 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 7 ways as a sum of consecutive naturals, for example, 85108 + ... + 86156.

It is an arithmetic number, because the mean of its divisors is an integer number (3748500).

Almost surely, 2^89827968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119952000).

89827968 is an abundant number, since it is smaller than the sum of its proper divisors (150076032).

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

89827968 is a wasteful number, since it uses less digits than its factorization.

89827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1277 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The square root of 89827968 is about 9477.7617610911. The cubic root of 89827968 is about 447.8547573388.

The spelling of 89827968 in words is "eighty-nine million, eight hundred twenty-seven thousand, nine hundred sixty-eight".