90440320 has 64 divisors (see below), whose sum is σ = 217455840. Its totient is φ = 35968000.

The previous prime is 90440269. The next prime is 90440377. The reversal of 90440320 is 2304409.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 90440291 and 90440300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160359 + ... + 160921.

Almost surely, 2^90440320 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 90440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108727920).

90440320 is an abundant number, since it is smaller than the sum of its proper divisors (127015520).

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

90440320 is a wasteful number, since it uses less digits than its factorization.

90440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 90440320 is about 9510.0115667648. The cubic root of 90440320 is about 448.8701201547.

Adding to 90440320 its reverse (2304409), we get a palindrome (92744729).

The spelling of 90440320 in words is "ninety million, four hundred forty thousand, three hundred twenty".