90009052 has 48 divisors (see below), whose sum is σ = 185213952. Its totient is φ = 37477440.

The previous prime is 90009037. The next prime is 90009053. The reversal of 90009052 is 25090009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90009053) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 194173 + ... + 194635.

It is an arithmetic number, because the mean of its divisors is an integer number (3858624).

Almost surely, 2^90009052 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 90009052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92606976).

90009052 is an abundant number, since it is smaller than the sum of its proper divisors (95204900).

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

90009052 is a wasteful number, since it uses less digits than its factorization.

90009052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 90009052 is about 9487.3100507994. The cubic root of 90009052 is about 448.1554984764.

The spelling of 90009052 in words is "ninety million, nine thousand, fifty-two".