89835648 has 128 divisors (see below), whose sum is σ = 287232000. Its totient is φ = 24302592.

The previous prime is 89835637. The next prime is 89835653. The reversal of 89835648 is 84653898.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89835648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50193 + ... + 51951.

It is an arithmetic number, because the mean of its divisors is an integer number (2244000).

Almost surely, 2^89835648 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 89835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143616000).

89835648 is an abundant number, since it is smaller than the sum of its proper divisors (197396352).

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

89835648 is a wasteful number, since it uses less digits than its factorization.

89835648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1790 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 89835648 is about 9478.1669113811. The cubic root of 89835648 is about 447.8675203517.

The spelling of 89835648 in words is "eighty-nine million, eight hundred thirty-five thousand, six hundred forty-eight".