90328896 has 168 divisors, whose sum is σ = 303361344. Its totient is φ = 25159680.

The previous prime is 90328873. The next prime is 90328897. The reversal of 90328896 is 69882309.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90328897) 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, 173116 + ... + 173636.

Almost surely, 2^90328896 is an apocalyptic number.

90328896 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 90328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151680672).

90328896 is an abundant number, since it is smaller than the sum of its proper divisors (213032448).

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

90328896 is a wasteful number, since it uses less digits than its factorization.

90328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 90328896 is about 9504.1515139438. The cubic root of 90328896 is about 448.6857058800.

The spelling of 90328896 in words is "ninety million, three hundred twenty-eight thousand, eight hundred ninety-six".