90441632 has 72 divisors (see below), whose sum is σ = 195934788. Its totient is φ = 40949760.

The previous prime is 90441629. The next prime is 90441647. The reversal of 90441632 is 23614409.

It can be written as a sum of positive squares in 2 ways, for example, as 77510416 + 12931216 = 8804^2 + 3596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90441595 and 90441604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 522698 + ... + 522870.

Almost surely, 2^90441632 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 90441632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97967394).

90441632 is an abundant number, since it is smaller than the sum of its proper divisors (105493156).

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

90441632 is a wasteful number, since it uses less digits than its factorization.

90441632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 90441632 is about 9510.0805464517. The cubic root of 90441632 is about 448.8722907012.

The spelling of 90441632 in words is "ninety million, four hundred forty-one thousand, six hundred thirty-two".