90524448 has 144 divisors (see below), whose sum is σ = 298299456. Its totient is φ = 25505280.

The previous prime is 90524443. The next prime is 90524471. The reversal of 90524448 is 84442509.

90524448 is a `hidden beast` number, since 90 + 524 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (90524443) 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 23 ways as a sum of consecutive naturals, for example, 167058 + ... + 167598.

It is an arithmetic number, because the mean of its divisors is an integer number (2071524).

Almost surely, 2^90524448 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 90524448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149149728).

90524448 is an abundant number, since it is smaller than the sum of its proper divisors (207775008).

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

90524448 is a wasteful number, since it uses less digits than its factorization.

90524448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 90524448 is about 9514.4336668033. The cubic root of 90524448 is about 449.0092573690.

The spelling of 90524448 in words is "ninety million, five hundred twenty-four thousand, four hundred forty-eight".