89041536 has 96 divisors (see below), whose sum is σ = 263277300. Its totient is φ = 28864512.

The previous prime is 89041523. The next prime is 89041541. The reversal of 89041536 is 63514098.

89041536 is a `hidden beast` number, since 89 + 0 + 41 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72590400 + 16451136 = 8520^2 + 4056^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 89041536.

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, 41580 + ... + 43668.

Almost surely, 2^89041536 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 89041536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131638650).

89041536 is an abundant number, since it is smaller than the sum of its proper divisors (174235764).

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

89041536 is a wasteful number, since it uses less digits than its factorization.

89041536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 89041536 is about 9436.1822788668. The cubic root of 89041536 is about 446.5439548058.

It can be divided in two parts, 8904 and 1536, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 89041536 in words is "eighty-nine million, forty-one thousand, five hundred thirty-six".