1968172880 has 20 divisors (see below), whose sum is σ = 4576002132. Its totient is φ = 787269120.

The previous prime is 1968172853. The next prime is 1968172883. The reversal of 1968172880 is 882718691.

It can be written as a sum of positive squares in 2 ways, for example, as 442176784 + 1525996096 = 21028^2 + 39064^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968172883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12301001 + ... + 12301160.

Almost surely, 2^1968172880 is an apocalyptic number.

1968172880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968172880 is an abundant number, since it is smaller than the sum of its proper divisors (2607829252).

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

1968172880 is a wasteful number, since it uses less digits than its factorization.

1968172880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24602174 (or 24602168 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 50.

The square root of 1968172880 is about 44364.0944909281. The cubic root of 1968172880 is about 1253.2020051269.

The spelling of 1968172880 in words is "one billion, nine hundred sixty-eight million, one hundred seventy-two thousand, eight hundred eighty".