1960000768 has 144 divisors (see below), whose sum is σ = 4450360320. Its totient is φ = 853760000.

The previous prime is 1960000747. The next prime is 1960000793. The reversal of 1960000768 is 8670000691.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7808643 + ... + 7808893.

It is an arithmetic number, because the mean of its divisors is an integer number (30905280).

Almost surely, 2^1960000768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225180160).

1960000768 is an abundant number, since it is smaller than the sum of its proper divisors (2490359552).

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

1960000768 is a wasteful number, since it uses less digits than its factorization.

1960000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 1960000768 is about 44271.8959160323. The cubic root of 1960000768 is about 1251.4651125918.

The spelling of 1960000768 in words is "one billion, nine hundred sixty million, seven hundred sixty-eight", and thus it is an aban number.