89585664 has 96 divisors (see below), whose sum is σ = 273087360. Its totient is φ = 25583616.

The previous prime is 89585663. The next prime is 89585689. The reversal of 89585664 is 46658598.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×89585664⁴ (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89585663) 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, 41967 + ... + 44049.

It is an arithmetic number, because the mean of its divisors is an integer number (2844660).

Almost surely, 2^89585664 is an apocalyptic number.

89585664 is a gapful number since it is divisible by the number (84) 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 89585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136543680).

89585664 is an abundant number, since it is smaller than the sum of its proper divisors (183501696).

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

89585664 is a wasteful number, since it uses less digits than its factorization.

89585664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2095 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 89585664 is about 9464.9703644544. The cubic root of 89585664 is about 447.4517101955.

The spelling of 89585664 in words is "eighty-nine million, five hundred eighty-five thousand, six hundred sixty-four".