1985263616 has 144 divisors (see below), whose sum is σ = 4698177120. Its totient is φ = 836075520.

The previous prime is 1985263613. The next prime is 1985263627. The reversal of 1985263616 is 6163625891.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1985263613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7325561 + ... + 7325831.

It is an arithmetic number, because the mean of its divisors is an integer number (32626230).

Almost surely, 2^1985263616 is an apocalyptic number.

1985263616 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 1985263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349088560).

1985263616 is an abundant number, since it is smaller than the sum of its proper divisors (2712913504).

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

1985263616 is an equidigital number, since it uses as much as digits as its factorization.

1985263616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 353 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 1985263616 is about 44556.2971531522. The cubic root of 1985263616 is about 1256.8189717377.

The spelling of 1985263616 in words is "one billion, nine hundred eighty-five million, two hundred sixty-three thousand, six hundred sixteen".