89491584 has 192 divisors, whose sum is σ = 295669440. Its totient is φ = 23482368.

The previous prime is 89491583. The next prime is 89491601. The reversal of 89491584 is 48519498.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (89491583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454174 + ... + 454370.

It is an arithmetic number, because the mean of its divisors is an integer number (1539945).

Almost surely, 2^89491584 is an apocalyptic number.

89491584 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 89491584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147834720).

89491584 is an abundant number, since it is smaller than the sum of its proper divisors (206177856).

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

89491584 is a wasteful number, since it uses less digits than its factorization.

89491584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 222 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 89491584 is about 9459.9991543340. Note that the first 3 decimals coincide. The cubic root of 89491584 is about 447.2950221733.

The spelling of 89491584 in words is "eighty-nine million, four hundred ninety-one thousand, five hundred eighty-four".