1968795 has 24 divisors (see below), whose sum is σ = 3468816. Its totient is φ = 1032768.

The previous prime is 1968773. The next prime is 1968797. The reversal of 1968795 is 5978691.

1968795 = T₁₀₀ + T₁₀₁ + ... + T₂₃₃.

It is not a de Polignac number, because 1968795 - 2⁸ = 1968539 is a prime.

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

1968795 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1968795.

It is not an unprimeable number, because it can be changed into a prime (1968797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2689 + ... + 3341.

It is an arithmetic number, because the mean of its divisors is an integer number (144534).

2^1968795 is an apocalyptic number.

1968795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1968795 is a deficient number, since it is larger than the sum of its proper divisors (1500021).

1968795 is a wasteful number, since it uses less digits than its factorization.

1968795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 728 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 1968795 is about 1403.1375556231. The cubic root of 1968795 is about 125.3334032807. Note that the first 3 decimals are identical.

The spelling of 1968795 in words is "one million, nine hundred sixty-eight thousand, seven hundred ninety-five".