9218880 has 224 divisors, whose sum is σ = 35844480. Its totient is φ = 2211840.

The previous prime is 9218861. The next prime is 9218917. The reversal of 9218880 is 888129.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94992 + ... + 95088.

It is an arithmetic number, because the mean of its divisors is an integer number (160020).

Almost surely, 2^9218880 is an apocalyptic number.

9218880 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 9218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922240).

9218880 is an abundant number, since it is smaller than the sum of its proper divisors (26625600).

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

9218880 is a wasteful number, since it uses less digits than its factorization.

9218880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 9218880 is about 3036.2608583585. The cubic root of 9218880 is about 209.6811487738.

It can be divided in two parts, 921 and 8880, that added together give a square (9801 = 99²).

The spelling of 9218880 in words is "nine million, two hundred eighteen thousand, eight hundred eighty".