1968000020 has 96 divisors (see below), whose sum is σ = 4797477888. Its totient is φ = 664215552.

The previous prime is 1968000011. The next prime is 1968000043. The reversal of 1968000020 is 200008691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4250309 + ... + 4250771.

It is an arithmetic number, because the mean of its divisors is an integer number (49973728).

Almost surely, 2^1968000020 is an apocalyptic number.

1968000020 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 1968000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398738944).

1968000020 is an abundant number, since it is smaller than the sum of its proper divisors (2829477868).

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

1968000020 is a wasteful number, since it uses less digits than its factorization.

1968000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1968000020 is about 44362.1462510551. The cubic root of 1968000020 is about 1253.1653154568.

The spelling of 1968000020 in words is "one billion, nine hundred sixty-eight million, twenty", and thus it is an aban number.