1968579200 has 192 divisors, whose sum is σ = 5800878720. Its totient is φ = 645427200.

The previous prime is 1968579181. The next prime is 1968579203. The reversal of 1968579200 is 29758691.

It is not an unprimeable number, because it can be changed into a prime (1968579203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513290 + ... + 517110.

It is an arithmetic number, because the mean of its divisors is an integer number (30212910).

Almost surely, 2^1968579200 is an apocalyptic number.

1968579200 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 1968579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900439360).

1968579200 is an abundant number, since it is smaller than the sum of its proper divisors (3832299520).

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

1968579200 is a wasteful number, since it uses less digits than its factorization.

1968579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The square root of 1968579200 is about 44368.6736335446. The cubic root of 1968579200 is about 1253.2882384057.

The spelling of 1968579200 in words is "one billion, nine hundred sixty-eight million, five hundred seventy-nine thousand, two hundred".