90468 has 36 divisors (see below), whose sum is σ = 262080. Its totient is φ = 25776.

The previous prime is 90439. The next prime is 90469. The reversal of 90468 is 86409.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (90469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 73 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2⁹⁰⁴⁶⁸ 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 90468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

90468 is an abundant number, since it is smaller than the sum of its proper divisors (171612).

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

90468 is a wasteful number, since it uses less digits than its factorization.

90468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90468 is about 300.7789886279. The cubic root of 90468 is about 44.8915908941.

The spelling of 90468 in words is "ninety thousand, four hundred sixty-eight".