90940080 has 480 divisors, whose sum is σ = 386760960. Its totient is φ = 17418240.

The previous prime is 90940079. The next prime is 90940093. The reversal of 90940080 is 8004909.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2457822 + ... + 2457858.

It is an arithmetic number, because the mean of its divisors is an integer number (805752).

Almost surely, 2^90940080 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 90940080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193380480).

90940080 is an abundant number, since it is smaller than the sum of its proper divisors (295820880).

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

90940080 is a wasteful number, since it uses less digits than its factorization.

90940080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 90940080 is about 9536.2508356272. The cubic root of 90940080 is about 449.6953988028.

Adding to 90940080 its reverse (8004909), we get a palindrome (98944989).

The spelling of 90940080 in words is "ninety million, nine hundred forty thousand, eighty".