1948686960 has 320 divisors, whose sum is σ = 6993838080. Its totient is φ = 444195840.

The previous prime is 1948686947. The next prime is 1948687019. The reversal of 1948686960 is 696868491.

It is a self number, because there is not a number n which added to its sum of digits gives 1948686960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4068001 + ... + 4068479.

It is an arithmetic number, because the mean of its divisors is an integer number (21855744).

Almost surely, 2^1948686960 is an apocalyptic number.

1948686960 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 1948686960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496919040).

1948686960 is an abundant number, since it is smaller than the sum of its proper divisors (5045151120).

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

1948686960 is a wasteful number, since it uses less digits than its factorization.

1948686960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 1948686960 is about 44143.9345776971. The cubic root of 1948686960 is about 1249.0525001100.

The spelling of 1948686960 in words is "one billion, nine hundred forty-eight million, six hundred eighty-six thousand, nine hundred sixty".