90016020 has 144 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 21593088.

The previous prime is 90016013. The next prime is 90016021. The reversal of 90016020 is 2061009.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 90015984 and 90016002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90016021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69741 + ... + 71019.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2^90016020 is an apocalyptic number.

90016020 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 90016020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

90016020 is an abundant number, since it is smaller than the sum of its proper divisors (211900140).

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

90016020 is a wasteful number, since it uses less digits than its factorization.

90016020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 90016020 is about 9487.6772710711. The cubic root of 90016020 is about 448.1670627464.

Adding to 90016020 its reverse (2061009), we get a palindrome (92077029).

The spelling of 90016020 in words is "ninety million, sixteen thousand, twenty".