1968316524 has 144 divisors (see below), whose sum is σ = 5317472160. Its totient is φ = 636387840.

The previous prime is 1968316499. The next prime is 1968316549. The reversal of 1968316524 is 4256138691.

1968316524 is a `hidden beast` number, since 1 + 96 + 8 + 31 + 6 + 524 = 666.

It is an interprime number because it is at equal distance from previous prime (1968316499) and next prime (1968316549).

It is a super-3 number, since 3×1968316524³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1968316524.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5276802 + ... + 5277174.

It is an arithmetic number, because the mean of its divisors is an integer number (36926890).

Almost surely, 2^1968316524 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 1968316524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658736080).

1968316524 is an abundant number, since it is smaller than the sum of its proper divisors (3349155636).

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

1968316524 is a wasteful number, since it uses less digits than its factorization.

1968316524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 528 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 1968316524 is about 44365.7133831972. The cubic root of 1968316524 is about 1253.2324920439.

The spelling of 1968316524 in words is "one billion, nine hundred sixty-eight million, three hundred sixteen thousand, five hundred twenty-four".