45089664 has 64 divisors (see below), whose sum is σ = 123930000. Its totient is φ = 14508032.

The previous prime is 45089663. The next prime is 45089687. The reversal of 45089664 is 46698054.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45089663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9112 + ... + 13160.

Almost surely, 2^45089664 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 45089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61965000).

45089664 is an abundant number, since it is smaller than the sum of its proper divisors (78840336).

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

45089664 is a wasteful number, since it uses less digits than its factorization.

45089664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 45089664 is about 6714.8837666783. The cubic root of 45089664 is about 355.9254146656.

It can be divided in two parts, 45089 and 664, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 45089664 in words is "forty-five million, eighty-nine thousand, six hundred sixty-four".