90045006 has 8 divisors (see below), whose sum is σ = 180090024. Its totient is φ = 30015000.

The previous prime is 90044993. The next prime is 90045017. The reversal of 90045006 is 60054009.

90045006 = 1564² + 1565² + ... + 1599².

It is a sphenic number, since it is the product of 3 distinct primes.

90045006 is an admirable number.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7503745 + ... + 7503756.

It is an arithmetic number, because the mean of its divisors is an integer number (22511253).

Almost surely, 2^90045006 is an apocalyptic number.

90045006 is the 6002-nd centered pentagonal number.

90045006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

90045006 is a wasteful number, since it uses less digits than its factorization.

90045006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007506.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 90045006 is about 9489.2047085096. The cubic root of 90045006 is about 448.2151622453.

The spelling of 90045006 in words is "ninety million, forty-five thousand, six".