90045420 has 96 divisors (see below), whose sum is σ = 264757248. Its totient is φ = 22839552.

The previous prime is 90045419. The next prime is 90045443. The reversal of 90045420 is 2454009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103909 + ... + 104771.

It is an arithmetic number, because the mean of its divisors is an integer number (2757888).

Almost surely, 2^90045420 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 90045420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132378624).

90045420 is an abundant number, since it is smaller than the sum of its proper divisors (174711828).

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

90045420 is a wasteful number, since it uses less digits than its factorization.

90045420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 90045420 is about 9489.2265227467. The cubic root of 90045420 is about 448.2158491640.

Adding to 90045420 its reverse (2454009), we get a palindrome (92499429).

The spelling of 90045420 in words is "ninety million, forty-five thousand, four hundred twenty".