90424320 has 264 divisors, whose sum is σ = 342323904. Its totient is φ = 19955712.

The previous prime is 90424319. The next prime is 90424331. The reversal of 90424320 is 2342409.

It is a happy number.

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

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, 3118066 + ... + 3118094.

Almost surely, 2^90424320 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 90424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171161952).

90424320 is an abundant number, since it is smaller than the sum of its proper divisors (251899584).

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

90424320 is a wasteful number, since it uses less digits than its factorization.

90424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 90424320 is about 9509.1703108105. The cubic root of 90424320 is about 448.8436483868.

Adding to 90424320 its reverse (2342409), we get a palindrome (92766729).

The spelling of 90424320 in words is "ninety million, four hundred twenty-four thousand, three hundred twenty".