1968485820 has 288 divisors, whose sum is σ = 6856109568. Its totient is φ = 419747328.

The previous prime is 1968485801. The next prime is 1968485837. The reversal of 1968485820 is 285848691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2907322 + ... + 2907998.

It is an arithmetic number, because the mean of its divisors is an integer number (23805936).

Almost surely, 2^1968485820 is an apocalyptic number.

1968485820 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 1968485820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428054784).

1968485820 is an abundant number, since it is smaller than the sum of its proper divisors (4887623748).

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

1968485820 is a wasteful number, since it uses less digits than its factorization.

1968485820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The square root of 1968485820 is about 44367.6213020261. The cubic root of 1968485820 is about 1253.2684214219.

The spelling of 1968485820 in words is "one billion, nine hundred sixty-eight million, four hundred eighty-five thousand, eight hundred twenty".