90438 has 8 divisors (see below), whose sum is σ = 180888. Its totient is φ = 30144.

The previous prime is 90437. The next prime is 90439. The reversal of 90438 is 83409.

It is an interprime number because it is at equal distance from previous prime (90437) and next prime (90439).

It is a sphenic number, since it is the product of 3 distinct primes.

90438 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90437) 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 3 ways as a sum of consecutive naturals, for example, 7531 + ... + 7542.

It is an arithmetic number, because the mean of its divisors is an integer number (22611).

2⁹⁰⁴³⁸ is an apocalyptic number.

90438 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90444).

90438 is a wasteful number, since it uses less digits than its factorization.

90438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15078.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 90438 is about 300.7291139880. The cubic root of 90438 is about 44.8866281942.

It can be divided in two parts, 90 and 438, that added together give a triangular number (528 = T₃₂).

The spelling of 90438 in words is "ninety thousand, four hundred thirty-eight".