1220362816 has 56 divisors (see below), whose sum is σ = 2578690296. Its totient is φ = 571023360.

The previous prime is 1220362811. The next prime is 1220362831. The reversal of 1220362816 is 6182630221.

It can be written as a sum of positive squares in 4 ways, for example, as 25969216 + 1194393600 = 5096^2 + 34560^2 .

It is not an unprimeable number, because it can be changed into a prime (1220362811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193830 + ... + 200026.

It is an arithmetic number, because the mean of its divisors is an integer number (46048041).

Almost surely, 2^1220362816 is an apocalyptic number.

1220362816 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 1220362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289345148).

1220362816 is an abundant number, since it is smaller than the sum of its proper divisors (1358327480).

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

1220362816 is a wasteful number, since it uses less digits than its factorization.

1220362816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6397 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 1220362816 is about 34933.6917029964. The cubic root of 1220362816 is about 1068.6356430610.

The spelling of 1220362816 in words is "one billion, two hundred twenty million, three hundred sixty-two thousand, eight hundred sixteen".