90081600 has 252 divisors, whose sum is σ = 344692224. Its totient is φ = 20536320.

The previous prime is 90081587. The next prime is 90081611. The reversal of 90081600 is 618009.

It is a super-2 number, since 2×90081600² = 16229389317120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 235009 + ... + 235391.

Almost surely, 2^90081600 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 90081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172346112).

90081600 is an abundant number, since it is smaller than the sum of its proper divisors (254610624).

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

90081600 is a wasteful number, since it uses less digits than its factorization.

90081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 90081600 is about 9491.1327037398. The cubic root of 90081600 is about 448.2758717541.

Adding to 90081600 its reverse (618009), we get a palindrome (90699609).

The spelling of 90081600 in words is "ninety million, eighty-one thousand, six hundred".