1968952160 has 48 divisors (see below), whose sum is σ = 5316173856. Its totient is φ = 675068928.

The previous prime is 1968952133. The next prime is 1968952163. The reversal of 1968952160 is 612598691.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968952163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 877877 + ... + 880116.

It is an arithmetic number, because the mean of its divisors is an integer number (110753622).

Almost surely, 2^1968952160 is an apocalyptic number.

1968952160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968952160 is an abundant number, since it is smaller than the sum of its proper divisors (3347221696).

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

1968952160 is a wasteful number, since it uses less digits than its factorization.

1968952160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758015 (or 1758007 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The square root of 1968952160 is about 44372.8763998910. The cubic root of 1968952160 is about 1253.3673812490.

The spelling of 1968952160 in words is "one billion, nine hundred sixty-eight million, nine hundred fifty-two thousand, one hundred sixty".