1968403140 has 384 divisors, whose sum is σ = 7180669440. Its totient is φ = 442368000.

The previous prime is 1968403109. The next prime is 1968403141. The reversal of 1968403140 is 413048691.

It is a super-2 number, since 2×1968403140² = 7749221843123719200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1968403095 and 1968403104.

It is not an unprimeable number, because it can be changed into a prime (1968403141) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10198884 + ... + 10199076.

It is an arithmetic number, because the mean of its divisors is an integer number (18699660).

Almost surely, 2^1968403140 is an apocalyptic number.

1968403140 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 1968403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590334720).

1968403140 is an abundant number, since it is smaller than the sum of its proper divisors (5212266300).

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

1968403140 is a wasteful number, since it uses less digits than its factorization.

1968403140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1968403140 is about 44366.6895316745. The cubic root of 1968403140 is about 1253.2508746553.

The spelling of 1968403140 in words is "one billion, nine hundred sixty-eight million, four hundred three thousand, one hundred forty".