1968427200 has 336 divisors, whose sum is σ = 6803136000. Its totient is φ = 497602560.

The previous prime is 1968427177. The next prime is 1968427213. The reversal of 1968427200 is 27248691.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10996711 + ... + 10996889.

Almost surely, 2^1968427200 is an apocalyptic number.

1968427200 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 1968427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401568000).

1968427200 is an abundant number, since it is smaller than the sum of its proper divisors (4834708800).

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

1968427200 is a wasteful number, since it uses less digits than its factorization.

1968427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 1968427200 is about 44366.9606802179. The cubic root of 1968427200 is about 1253.2559808405.

The spelling of 1968427200 in words is "one billion, nine hundred sixty-eight million, four hundred twenty-seven thousand, two hundred".