1968444600 has 288 divisors, whose sum is σ = 6532081920. Its totient is φ = 490058240.

The previous prime is 1968444589. The next prime is 1968444601. The reversal of 1968444600 is 64448691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968444601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23716159 + ... + 23716241.

It is an arithmetic number, because the mean of its divisors is an integer number (22680840).

Almost surely, 2^1968444600 is an apocalyptic number.

1968444600 is a gapful number since it is divisible by the number (10) 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 1968444600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3266040960).

1968444600 is an abundant number, since it is smaller than the sum of its proper divisors (4563637320).

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

1968444600 is a wasteful number, since it uses less digits than its factorization.

1968444600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 1968444600 is about 44367.1567716481. The cubic root of 1968444600 is about 1253.2596735670.

The spelling of 1968444600 in words is "one billion, nine hundred sixty-eight million, four hundred forty-four thousand, six hundred".