1985217216 has 112 divisors (see below), whose sum is σ = 5536435968. Its totient is φ = 626560000.

The previous prime is 1985217197. The next prime is 1985217217. The reversal of 1985217216 is 6127125891.

It is not an unprimeable number, because it can be changed into a prime (1985217217) 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 15 ways as a sum of consecutive naturals, for example, 443791 + ... + 448241.

It is an arithmetic number, because the mean of its divisors is an integer number (49432464).

Almost surely, 2^1985217216 is an apocalyptic number.

1985217216 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 1985217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768217984).

1985217216 is an abundant number, since it is smaller than the sum of its proper divisors (3551218752).

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

1985217216 is a wasteful number, since it uses less digits than its factorization.

1985217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4580 counting only the distinct ones).

The product of its digits is 60480, while the sum is 42.

The square root of 1985217216 is about 44555.7764605219. The cubic root of 1985217216 is about 1256.8091801154.

The spelling of 1985217216 in words is "one billion, nine hundred eighty-five million, two hundred seventeen thousand, two hundred sixteen".