1968979320 has 256 divisors, whose sum is σ = 8183116800. Its totient is φ = 409121280.

The previous prime is 1968979303. The next prime is 1968979349. The reversal of 1968979320 is 239798691.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71322 + ... + 94998.

It is an arithmetic number, because the mean of its divisors is an integer number (31965300).

Almost surely, 2^1968979320 is an apocalyptic number.

1968979320 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 1968979320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091558400).

1968979320 is an abundant number, since it is smaller than the sum of its proper divisors (6214137480).

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

1968979320 is a wasteful number, since it uses less digits than its factorization.

1968979320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23715 (or 23705 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 1968979320 is about 44373.1824416505. The cubic root of 1968979320 is about 1253.3731442638.

The spelling of 1968979320 in words is "one billion, nine hundred sixty-eight million, nine hundred seventy-nine thousand, three hundred twenty".