89582064 has 160 divisors (see below), whose sum is σ = 281315328. Its totient is φ = 24192000.

The previous prime is 89582041. The next prime is 89582081. The reversal of 89582064 is 46028598.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212574 + ... + 212994.

Almost surely, 2^89582064 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 89582064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140657664).

89582064 is an abundant number, since it is smaller than the sum of its proper divisors (191733264).

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

89582064 is a wasteful number, since it uses less digits than its factorization.

89582064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 89582064 is about 9464.7801876219. The cubic root of 89582064 is about 447.4457164994.

The spelling of 89582064 in words is "eighty-nine million, five hundred eighty-two thousand, sixty-four".