9020284416 has 560 divisors, whose sum is σ = 31934049840. Its totient is φ = 2523156480.

The previous prime is 9020284397. The next prime is 9020284453. The reversal of 9020284416 is 6144820209.

9020284416 is a `hidden beast` number, since 9 + 0 + 202 + 8 + 441 + 6 = 666.

It is a super-2 number, since 2×9020284416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 693868026 + ... + 693868038.

It is an arithmetic number, because the mean of its divisors is an integer number (57025089).

Almost surely, 2^9020284416 is an apocalyptic number.

9020284416 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 9020284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15967024920).

9020284416 is an abundant number, since it is smaller than the sum of its proper divisors (22913765424).

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

9020284416 is an frugal number, since it uses more digits than its factorization.

9020284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9020284416 is about 94975.1778940161. The cubic root of 9020284416 is about 2081.6453647729.

The spelling of 9020284416 in words is "nine billion, twenty million, two hundred eighty-four thousand, four hundred sixteen".