1968048632 has 64 divisors (see below), whose sum is σ = 4109529600. Its totient is φ = 876096000.

The previous prime is 1968048623. The next prime is 1968048647. The reversal of 1968048632 is 2368408691.

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, 909632 + ... + 911792.

It is an arithmetic number, because the mean of its divisors is an integer number (64211400).

Almost surely, 2^1968048632 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 1968048632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054764800).

1968048632 is an abundant number, since it is smaller than the sum of its proper divisors (2141480968).

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

1968048632 is a wasteful number, since it uses less digits than its factorization.

1968048632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 1968048632 is about 44362.6941472224. The cubic root of 1968048632 is about 1253.1756336089.

The spelling of 1968048632 in words is "one billion, nine hundred sixty-eight million, forty-eight thousand, six hundred thirty-two".