90144208 has 80 divisors (see below), whose sum is σ = 229271040. Its totient is φ = 33264000.

The previous prime is 90144203. The next prime is 90144233. The reversal of 90144208 is 80244109.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90144203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21483 + ... + 25333.

It is an arithmetic number, because the mean of its divisors is an integer number (2865888).

Almost surely, 2^90144208 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 90144208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114635520).

90144208 is an abundant number, since it is smaller than the sum of its proper divisors (139126832).

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

90144208 is a wasteful number, since it uses less digits than its factorization.

90144208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3890 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 90144208 is about 9494.4303673259. The cubic root of 90144208 is about 448.3797004171.

Subtracting from 90144208 its reverse (80244109), we obtain a palindrome (9900099).

The spelling of 90144208 in words is "ninety million, one hundred forty-four thousand, two hundred eight".