1979131968 has 336 divisors, whose sum is σ = 6710086656. Its totient is φ = 572520960.

The previous prime is 1979131967. The next prime is 1979131997. The reversal of 1979131968 is 8691319791.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1979131967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3934405 + ... + 3934907.

It is an arithmetic number, because the mean of its divisors is an integer number (19970496).

Almost surely, 2^1979131968 is an apocalyptic number.

1979131968 is a gapful number since it is divisible by the number (18) 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 1979131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355043328).

1979131968 is an abundant number, since it is smaller than the sum of its proper divisors (4730954688).

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

1979131968 is a wasteful number, since it uses less digits than its factorization.

1979131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 542 counting only the distinct ones).

The product of its digits is 734832, while the sum is 54.

The square root of 1979131968 is about 44487.4360690746. The cubic root of 1979131968 is about 1255.5237081378.

The spelling of 1979131968 in words is "one billion, nine hundred seventy-nine million, one hundred thirty-one thousand, nine hundred sixty-eight".