1968722820 has 84 divisors (see below), whose sum is σ = 6198687180. Its totient is φ = 524988864.

The previous prime is 1968722813. The next prime is 1968722831. The reversal of 1968722820 is 282278691.

It can be written as a sum of positive squares in 2 ways, for example, as 423289476 + 1545433344 = 20574^2 + 39312^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 52935 + ... + 82094.

It is an arithmetic number, because the mean of its divisors is an integer number (73793895).

Almost surely, 2^1968722820 is an apocalyptic number.

1968722820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968722820 is an abundant number, since it is smaller than the sum of its proper divisors (4229964360).

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

1968722820 is a wasteful number, since it uses less digits than its factorization.

1968722820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135056 (or 135039 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1968722820 is about 44370.2920882881. The cubic root of 1968722820 is about 1253.3187160347.

The spelling of 1968722820 in words is "one billion, nine hundred sixty-eight million, seven hundred twenty-two thousand, eight hundred twenty".