90073680 has 80 divisors (see below), whose sum is σ = 293939520. Its totient is φ = 22754304.

The previous prime is 90073663. The next prime is 90073721. The reversal of 90073680 is 8637009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×90073680² = 16226535657484800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5317 + ... + 14436.

It is an arithmetic number, because the mean of its divisors is an integer number (3674244).

Almost surely, 2^90073680 is an apocalyptic number.

It is an amenable number.

90073680 is an abundant number, since it is smaller than the sum of its proper divisors (203865840).

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

90073680 is a wasteful number, since it uses less digits than its factorization.

90073680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19788 (or 19782 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 90073680 is about 9490.7154630196. The cubic root of 90073680 is about 448.2627338548.

The spelling of 90073680 in words is "ninety million, seventy-three thousand, six hundred eighty".