90018432 has 192 divisors, whose sum is σ = 308692800. Its totient is φ = 25297920.

The previous prime is 90018421. The next prime is 90018443. The reversal of 90018432 is 23481009.

It is an interprime number because it is at equal distance from previous prime (90018421) and next prime (90018443).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90018396 and 90018405.

It is an unprimeable number.

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, 1475682 + ... + 1475742.

It is an arithmetic number, because the mean of its divisors is an integer number (1607775).

Almost surely, 2^90018432 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 90018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154346400).

90018432 is an abundant number, since it is smaller than the sum of its proper divisors (218674368).

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

90018432 is an equidigital number, since it uses as much as digits as its factorization.

90018432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 73 counting only the distinct ones).

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

The square root of 90018432 is about 9487.8043824691. The cubic root of 90018432 is about 448.1710656239.

The spelling of 90018432 in words is "ninety million, eighteen thousand, four hundred thirty-two".