90044160 has 144 divisors (see below), whose sum is σ = 291392640. Its totient is φ = 23695360.

The previous prime is 90044147. The next prime is 90044197. The reversal of 90044160 is 6144009.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 90044160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502951 + ... + 503129.

It is an arithmetic number, because the mean of its divisors is an integer number (2023560).

Almost surely, 2^90044160 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 90044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145696320).

90044160 is an abundant number, since it is smaller than the sum of its proper divisors (201348480).

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

90044160 is a wasteful number, since it uses less digits than its factorization.

90044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

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

The square root of 90044160 is about 9489.1601314342. The cubic root of 90044160 is about 448.2137585353.

Adding to 90044160 its reverse (6144009), we get a palindrome (96188169).

The spelling of 90044160 in words is "ninety million, forty-four thousand, one hundred sixty".