90116520 has 128 divisors (see below), whose sum is σ = 296231040. Its totient is φ = 21795840.

The previous prime is 90116501. The next prime is 90116527. The reversal of 90116520 is 2561109.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (90116527) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 94687 + ... + 95633.

It is an arithmetic number, because the mean of its divisors is an integer number (2314305).

Almost surely, 2^90116520 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 90116520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148115520).

90116520 is an abundant number, since it is smaller than the sum of its proper divisors (206114520).

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

90116520 is a wasteful number, since it uses less digits than its factorization.

90116520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 90116520 is about 9492.9721373235. The cubic root of 90116520 is about 448.3337887654. Note that the first 3 decimals are identical.

Adding to 90116520 its reverse (2561109), we get a palindrome (92677629).

The spelling of 90116520 in words is "ninety million, one hundred sixteen thousand, five hundred twenty".