90311680 has 88 divisors (see below), whose sum is σ = 224023680. Its totient is φ = 34897920.

The previous prime is 90311677. The next prime is 90311681. The reversal of 90311680 is 8611309.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90311681) 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 7 ways as a sum of consecutive naturals, for example, 158436 + ... + 159004.

Almost surely, 2^90311680 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 90311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112011840).

90311680 is an abundant number, since it is smaller than the sum of its proper divisors (133712000).

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

90311680 is a wasteful number, since it uses less digits than its factorization.

90311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 90311680 is about 9503.2457613176. The cubic root of 90311680 is about 448.6571987087.

Adding to 90311680 its reverse (8611309), we get a palindrome (98922989).

The spelling of 90311680 in words is "ninety million, three hundred eleven thousand, six hundred eighty".