90210944 has 48 divisors (see below), whose sum is σ = 183601530. Its totient is φ = 44149248.

The previous prime is 90210937. The next prime is 90210949. The reversal of 90210944 is 44901209.

It can be written as a sum of positive squares in only one way, i.e., 83028544 + 7182400 = 9112^2 + 2680^2 .

It is a super-2 number, since 2×90210944² = 16276028834742272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (90210949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 574514 + ... + 574670.

Almost surely, 2^90210944 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 90210944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800765).

90210944 is an abundant number, since it is smaller than the sum of its proper divisors (93390586).

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

90210944 is an equidigital number, since it uses as much as digits as its factorization.

90210944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 90210944 is about 9497.9441986148. The cubic root of 90210944 is about 448.4903220056.

The spelling of 90210944 in words is "ninety million, two hundred ten thousand, nine hundred forty-four".