89766144 has 252 divisors, whose sum is σ = 297134236. Its totient is φ = 26873856.

The previous prime is 89766143. The next prime is 89766167. The reversal of 89766144 is 44166798.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 41990400 = 6912^2 + 6480^2 .

Its product of digits (290304) is a multiple of the sum of its prime factors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 89766144.

It is not an unprimeable number, because it can be changed into a prime (89766143) 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 27 ways as a sum of consecutive naturals, for example, 2426094 + ... + 2426130.

Almost surely, 2^89766144 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 89766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148567118).

89766144 is an abundant number, since it is smaller than the sum of its proper divisors (207368092).

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

89766144 is an equidigital number, since it uses as much as digits as its factorization.

89766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 55 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 89766144 is about 9474.4996701673. The cubic root of 89766144 is about 447.7519885773.

The spelling of 89766144 in words is "eighty-nine million, seven hundred sixty-six thousand, one hundred forty-four".