90305061 has 48 divisors (see below), whose sum is σ = 157140480. Its totient is φ = 44811360.

The previous prime is 90305041. The next prime is 90305093. The reversal of 90305061 is 16050309.

It is not a de Polignac number, because 90305061 - 2⁵ = 90305029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90305011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121830 + ... + 122568.

It is an arithmetic number, because the mean of its divisors is an integer number (3273760).

Almost surely, 2^90305061 is an apocalyptic number.

It is an amenable number.

90305061 is a deficient number, since it is larger than the sum of its proper divisors (66835419).

90305061 is a wasteful number, since it uses less digits than its factorization.

90305061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 90305061 is about 9502.8975054980. The cubic root of 90305061 is about 448.6462376512.

The spelling of 90305061 in words is "ninety million, three hundred five thousand, sixty-one".