1968208272 has 30 divisors (see below), whose sum is σ = 5508249942. Its totient is φ = 656069376.

The previous prime is 1968208247. The next prime is 1968208273. The reversal of 1968208272 is 2728028691.

It can be written as a sum of positive squares in only one way, i.e., 1962844416 + 5363856 = 44304^2 + 2316^2 .

It is not an unprimeable number, because it can be changed into a prime (1968208273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6833913 + ... + 6834200.

Almost surely, 2^1968208272 is an apocalyptic number.

1968208272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1968208272 is an abundant number, since it is smaller than the sum of its proper divisors (3540041670).

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

1968208272 is a wasteful number, since it uses less digits than its factorization.

1968208272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13668127 (or 13668118 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1968208272 is about 44364.4933702618. The cubic root of 1968208272 is about 1253.2095168416.

The spelling of 1968208272 in words is "one billion, nine hundred sixty-eight million, two hundred eight thousand, two hundred seventy-two".