90218016 has 144 divisors (see below), whose sum is σ = 306240480. Its totient is φ = 25764480.

The previous prime is 90217993. The next prime is 90218033. The reversal of 90218016 is 61081209.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41271 + ... + 43401.

It is an arithmetic number, because the mean of its divisors is an integer number (2126670).

Almost surely, 2^90218016 is an apocalyptic number.

90218016 is a gapful number since it is divisible by the number (96) 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 90218016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153120240).

90218016 is an abundant number, since it is smaller than the sum of its proper divisors (216022464).

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

90218016 is a wasteful number, since it uses less digits than its factorization.

90218016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 90218016 is about 9498.3164824089. The cubic root of 90218016 is about 448.5020413549.

The spelling of 90218016 in words is "ninety million, two hundred eighteen thousand, sixteen".