1789968 has 40 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 588544.

The previous prime is 1789951. The next prime is 1789973. The reversal of 1789968 is 8699871.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4063 + ... + 4481.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

2^1789968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1789968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

1789968 is an abundant number, since it is smaller than the sum of its proper divisors (2897232).

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

1789968 is a wasteful number, since it uses less digits than its factorization.

1789968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its digits is 217728, while the sum is 48.

The square root of 1789968 is about 1337.8968570110. The cubic root of 1789968 is about 121.4176311778.

Subtracting 1789968 from its reverse (8699871), we obtain a triangular number (6909903 = T₃₇₁₇).

The spelling of 1789968 in words is "one million, seven hundred eighty-nine thousand, nine hundred sixty-eight".