90096832 has 56 divisors (see below), whose sum is σ = 206873856. Its totient is φ = 38131968.

The previous prime is 90096781. The next prime is 90096847. The reversal of 90096832 is 23869009.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 90096791 and 90096800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35973 + ... + 38395.

It is an arithmetic number, because the mean of its divisors is an integer number (3694176).

Almost surely, 2^90096832 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 90096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103436928).

90096832 is an abundant number, since it is smaller than the sum of its proper divisors (116777024).

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

90096832 is a wasteful number, since it uses less digits than its factorization.

90096832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 90096832 is about 9491.9351030230. The cubic root of 90096832 is about 448.3011368221.

The spelling of 90096832 in words is "ninety million, ninety-six thousand, eight hundred thirty-two".