90472224 has 96 divisors (see below), whose sum is σ = 252262080. Its totient is φ = 28311552.

The previous prime is 90472223. The next prime is 90472259. The reversal of 90472224 is 42227409.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 90472191 and 90472200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90472223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351904 + ... + 352160.

It is an arithmetic number, because the mean of its divisors is an integer number (2627730).

Almost surely, 2^90472224 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 90472224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126131040).

90472224 is an abundant number, since it is smaller than the sum of its proper divisors (161789856).

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

90472224 is a wasteful number, since it uses less digits than its factorization.

90472224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 90472224 is about 9511.6888090391. The cubic root of 90472224 is about 448.9228955419.

The spelling of 90472224 in words is "ninety million, four hundred seventy-two thousand, two hundred twenty-four".