90838944 has 216 divisors, whose sum is σ = 309788388. Its totient is φ = 25159680.

The previous prime is 90838927. The next prime is 90838961. The reversal of 90838944 is 44983809.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90838927) and next prime (90838961).

It can be written as a sum of positive squares in 2 ways, for example, as 77792400 + 13046544 = 8820^2 + 3612^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90838944.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 578514 + ... + 578670.

Almost surely, 2^90838944 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 90838944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154894194).

90838944 is an abundant number, since it is smaller than the sum of its proper divisors (218949444).

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

90838944 is a wasteful number, since it uses less digits than its factorization.

90838944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 90838944 is about 9530.9466476316. The cubic root of 90838944 is about 449.5286323484.

The spelling of 90838944 in words is "ninety million, eight hundred thirty-eight thousand, nine hundred forty-four".