1017968 has 40 divisors (see below), whose sum is σ = 2306400. Its totient is φ = 426240.

The previous prime is 1017959. The next prime is 1017997. The reversal of 1017968 is 8697101.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6758 + ... + 6906.

It is an arithmetic number, because the mean of its divisors is an integer number (57660).

2^1017968 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 1017968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153200).

1017968 is an abundant number, since it is smaller than the sum of its proper divisors (1288432).

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

1017968 is a wasteful number, since it uses less digits than its factorization.

1017968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 1017968 is about 1008.9440024104. The cubic root of 1017968 is about 100.5953815069.

The spelling of 1017968 in words is "one million, seventeen thousand, nine hundred sixty-eight".