89075844 has 135 divisors (see below), whose sum is σ = 268196565. Its totient is φ = 24916320.

The previous prime is 89075827. The next prime is 89075851. The reversal of 89075844 is 44857098.

The square root of 89075844 is 9438.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13176900 + 75898944 = 3630^2 + 8712^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 89075844.

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 44 ways as a sum of consecutive naturals, for example, 6851982 + ... + 6851994.

Almost surely, 2^89075844 is an apocalyptic number.

89075844 is the 9438-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89075844

89075844 is an abundant number, since it is smaller than the sum of its proper divisors (179120721).

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

89075844 is a wasteful number, since it uses less digits than its factorization.

89075844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The cubic root of 89075844 is about 446.6012990652.

The spelling of 89075844 in words is "eighty-nine million, seventy-five thousand, eight hundred forty-four".