1968848640 has 288 divisors, whose sum is σ = 7623302400. Its totient is φ = 477204480.

The previous prime is 1968848621. The next prime is 1968848653. The reversal of 1968848640 is 468488691.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377571 + ... + 382749.

It is an arithmetic number, because the mean of its divisors is an integer number (26469800).

Almost surely, 2^1968848640 is an apocalyptic number.

1968848640 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 1968848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811651200).

1968848640 is an abundant number, since it is smaller than the sum of its proper divisors (5654453760).

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

1968848640 is a wasteful number, since it uses less digits than its factorization.

1968848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 1968848640 is about 44371.7099062004. The cubic root of 1968848640 is about 1253.3454151041.

The spelling of 1968848640 in words is "one billion, nine hundred sixty-eight million, eight hundred forty-eight thousand, six hundred forty".