90240576 has 112 divisors (see below), whose sum is σ = 260299200. Its totient is φ = 27482112.

The previous prime is 90240511. The next prime is 90240583. The reversal of 90240576 is 67504209.

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 15 ways as a sum of consecutive naturals, for example, 105366 + ... + 106218.

It is an arithmetic number, because the mean of its divisors is an integer number (2324100).

Almost surely, 2^90240576 is an apocalyptic number.

90240576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90240576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130149600).

90240576 is an abundant number, since it is smaller than the sum of its proper divisors (170058624).

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

90240576 is a wasteful number, since it uses less digits than its factorization.

90240576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 90240576 is about 9499.5039870511. The cubic root of 90240576 is about 448.5394225168.

The spelling of 90240576 in words is "ninety million, two hundred forty thousand, five hundred seventy-six".