90224640 has 288 divisors, whose sum is σ = 344962800. Its totient is φ = 21626880.

The previous prime is 90224639. The next prime is 90224671. The reversal of 90224640 is 4642209.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013716 + ... + 1013804.

Almost surely, 2^90224640 is an apocalyptic number.

90224640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172481400).

90224640 is an abundant number, since it is smaller than the sum of its proper divisors (254738160).

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

90224640 is a wasteful number, since it uses less digits than its factorization.

90224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 90224640 is about 9498.6651693804. The cubic root of 90224640 is about 448.5130177465.

Adding to 90224640 its reverse (4642209), we get a palindrome (94866849).

The spelling of 90224640 in words is "ninety million, two hundred twenty-four thousand, six hundred forty".