90308064 has 192 divisors, whose sum is σ = 311592960. Its totient is φ = 22187520.

The previous prime is 90308021. The next prime is 90308069. The reversal of 90308064 is 46080309.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90308069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140127 + ... + 140769.

It is an arithmetic number, because the mean of its divisors is an integer number (1622880).

Almost surely, 2^90308064 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 90308064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155796480).

90308064 is an abundant number, since it is smaller than the sum of its proper divisors (221284896).

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

90308064 is a wasteful number, since it uses less digits than its factorization.

90308064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 90308064 is about 9503.0555086246. The cubic root of 90308064 is about 448.6512106827.

The spelling of 90308064 in words is "ninety million, three hundred eight thousand, sixty-four".