1968880368 has 160 divisors (see below), whose sum is σ = 6388480000. Its totient is φ = 519208704.

The previous prime is 1968880307. The next prime is 1968880409. The reversal of 1968880368 is 8630888691.

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, 209433 + ... + 218631.

It is an arithmetic number, because the mean of its divisors is an integer number (39928000).

Almost surely, 2^1968880368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968880368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194240000).

1968880368 is an abundant number, since it is smaller than the sum of its proper divisors (4419599632).

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

1968880368 is a wasteful number, since it uses less digits than its factorization.

1968880368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9224 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The square root of 1968880368 is about 44372.0674298595. The cubic root of 1968880368 is about 1253.3521476226.

The spelling of 1968880368 in words is "one billion, nine hundred sixty-eight million, eight hundred eighty thousand, three hundred sixty-eight".