90541440 has 192 divisors, whose sum is σ = 341312400. Its totient is φ = 21934080.

The previous prime is 90541433. The next prime is 90541457. The reversal of 90541440 is 4414509.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62646 + ... + 64074.

Almost surely, 2^90541440 is an apocalyptic number.

90541440 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170656200).

90541440 is an abundant number, since it is smaller than the sum of its proper divisors (250770960).

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

90541440 is a wasteful number, since it uses less digits than its factorization.

90541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 90541440 is about 9515.3265839907. The cubic root of 90541440 is about 449.0373495517.

Adding to 90541440 its reverse (4414509), we get a palindrome (94955949).

The spelling of 90541440 in words is "ninety million, five hundred forty-one thousand, four hundred forty".