1968647040 has 192 divisors, whose sum is σ = 6852502800. Its totient is φ = 520765440.

The previous prime is 1968647011. The next prime is 1968647053. The reversal of 1968647040 is 407468691.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753256 + ... + 755864.

Almost surely, 2^1968647040 is an apocalyptic number.

1968647040 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 1968647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426251400).

1968647040 is an abundant number, since it is smaller than the sum of its proper divisors (4883855760).

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

1968647040 is a wasteful number, since it uses less digits than its factorization.

1968647040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1968647040 is about 44369.4381303167. The cubic root of 1968647040 is about 1253.3026349304.

The spelling of 1968647040 in words is "one billion, nine hundred sixty-eight million, six hundred forty-seven thousand, forty".