90144800 has 72 divisors (see below), whose sum is σ = 221399892. Its totient is φ = 35840000.

The previous prime is 90144799. The next prime is 90144833. The reversal of 90144800 is 844109.

It can be written as a sum of positive squares in 6 ways, for example, as 69822736 + 20322064 = 8356^2 + 4508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90144800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224600 + ... + 225000.

Almost surely, 2^90144800 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 90144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110699946).

90144800 is an abundant number, since it is smaller than the sum of its proper divisors (131255092).

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

90144800 is a wasteful number, since it uses less digits than its factorization.

90144800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 90144800 is about 9494.4615434473. The cubic root of 90144800 is about 448.3806819562.

Adding to 90144800 its reverse (844109), we get a palindrome (90988909).

The spelling of 90144800 in words is "ninety million, one hundred forty-four thousand, eight hundred".