1083321216 has 192 divisors, whose sum is σ = 3347089200. Its totient is φ = 348364800.

The previous prime is 1083321203. The next prime is 1083321221. The reversal of 1083321216 is 6121233801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1083321216.

It is a congruent number.

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, 901416 + ... + 902616.

Almost surely, 2^1083321216 is an apocalyptic number.

1083321216 is a gapful number since it is divisible by the number (16) 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 1083321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673544600).

1083321216 is an abundant number, since it is smaller than the sum of its proper divisors (2263767984).

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

1083321216 is an equidigital number, since it uses as much as digits as its factorization.

1083321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1083321216 is about 32913.8453541971. The cubic root of 1083321216 is about 1027.0361953840.

The spelling of 1083321216 in words is "one billion, eighty-three million, three hundred twenty-one thousand, two hundred sixteen".