89991648 has 144 divisors (see below), whose sum is σ = 270781056. Its totient is φ = 29393280.

The previous prime is 89991641. The next prime is 89991673. The reversal of 89991648 is 84619998.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 89991594 and 89991603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89991641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 552015 + ... + 552177.

It is an arithmetic number, because the mean of its divisors is an integer number (1880424).

Almost surely, 2^89991648 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 89991648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135390528).

89991648 is an abundant number, since it is smaller than the sum of its proper divisors (180789408).

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

89991648 is a wasteful number, since it uses less digits than its factorization.

89991648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 89991648 is about 9486.3927812420. The cubic root of 89991648 is about 448.1266117482.

The spelling of 89991648 in words is "eighty-nine million, nine hundred ninety-one thousand, six hundred forty-eight".