1968100035 has 32 divisors (see below), whose sum is σ = 3491562240. Its totient is φ = 938582400.

The previous prime is 1968100031. The next prime is 1968100091. The reversal of 1968100035 is 5300018691.

It is not a de Polignac number, because 1968100035 - 2² = 1968100031 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1968099969 and 1968100005.

It is not an unprimeable number, because it can be changed into a prime (1968100031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87705 + ... + 107834.

It is an arithmetic number, because the mean of its divisors is an integer number (109111320).

Almost surely, 2^1968100035 is an apocalyptic number.

1968100035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1968100035 is a deficient number, since it is larger than the sum of its proper divisors (1523462205).

1968100035 is a wasteful number, since it uses less digits than its factorization.

1968100035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195619.

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1968100035 is about 44363.2734928341. The cubic root of 1968100035 is about 1253.1865439806.

The spelling of 1968100035 in words is "one billion, nine hundred sixty-eight million, one hundred thousand, thirty-five".