1045968 has 80 divisors (see below), whose sum is σ = 3380736. Its totient is φ = 270720.

The previous prime is 1045963. The next prime is 1045981. The reversal of 1045968 is 8695401.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3555 + ... + 3837.

2^1045968 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 1045968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690368).

1045968 is an abundant number, since it is smaller than the sum of its proper divisors (2334768).

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

1045968 is a wasteful number, since it uses less digits than its factorization.

1045968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1045968 is about 1022.7257696959. The cubic root of 1045968 is about 101.5093700653.

The spelling of 1045968 in words is "one million, forty-five thousand, nine hundred sixty-eight".