1968828120 has 320 divisors, whose sum is σ = 7727892480. Its totient is φ = 440204544.

The previous prime is 1968828119. The next prime is 1968828139. The reversal of 1968828120 is 218288691.

It is a happy number.

It is a super-2 number, since 2×1968828120² = 7752568332205468800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1065037 + ... + 1066883.

It is an arithmetic number, because the mean of its divisors is an integer number (24149664).

Almost surely, 2^1968828120 is an apocalyptic number.

1968828120 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 1968828120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863946240).

1968828120 is an abundant number, since it is smaller than the sum of its proper divisors (5759064360).

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

1968828120 is a wasteful number, since it uses less digits than its factorization.

1968828120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1968828120 is about 44371.4786771863. The cubic root of 1968828120 is about 1253.3410608271.

The spelling of 1968828120 in words is "one billion, nine hundred sixty-eight million, eight hundred twenty-eight thousand, one hundred twenty".