90810018 has 64 divisors (see below), whose sum is σ = 218574720. Its totient is φ = 27781056.

The previous prime is 90810017. The next prime is 90810019. The reversal of 90810018 is 81001809.

It is an interprime number because it is at equal distance from previous prime (90810017) and next prime (90810019).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90809973 and 90810000.

It is not an unprimeable number, because it can be changed into a prime (90810017) 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, 194221 + ... + 194687.

It is an arithmetic number, because the mean of its divisors is an integer number (3415230).

Almost surely, 2^90810018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90810018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109287360).

90810018 is an abundant number, since it is smaller than the sum of its proper divisors (127764702).

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

90810018 is a wasteful number, since it uses less digits than its factorization.

90810018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 90810018 is about 9529.4290490039. The cubic root of 90810018 is about 449.4809125596.

The spelling of 90810018 in words is "ninety million, eight hundred ten thousand, eighteen".