90333648 has 60 divisors (see below), whose sum is σ = 267687108. Its totient is φ = 28339200.

The previous prime is 90333647. The next prime is 90333679. The reversal of 90333648 is 84633309.

90333648 is a `hidden beast` number, since 9 + 0 + 3 + 3 + 3 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29680704 + 60652944 = 5448^2 + 7788^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90333647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16003 + ... + 20898.

Almost surely, 2^90333648 is an apocalyptic number.

It is an amenable number.

90333648 is an abundant number, since it is smaller than the sum of its proper divisors (177353460).

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

90333648 is a wasteful number, since it uses less digits than its factorization.

90333648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36932 (or 36923 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 90333648 is about 9504.4015066705. The cubic root of 90333648 is about 448.6935738572.

The spelling of 90333648 in words is "ninety million, three hundred thirty-three thousand, six hundred forty-eight".