89967744 has 96 divisors (see below), whose sum is σ = 267918300. Its totient is φ = 28944384.

The previous prime is 89967737. The next prime is 89967799. The reversal of 89967744 is 44776998.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 89870400 + 97344 = 9480^2 + 312^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32062 + ... + 34754.

Almost surely, 2^89967744 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 89967744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133959150).

89967744 is an abundant number, since it is smaller than the sum of its proper divisors (177950556).

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

89967744 is a wasteful number, since it uses less digits than its factorization.

89967744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742 (or 2727 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 89967744 is about 9485.1327876841. The cubic root of 89967744 is about 448.0869304097.

The spelling of 89967744 in words is "eighty-nine million, nine hundred sixty-seven thousand, seven hundred forty-four".