1075968 has 54 divisors (see below), whose sum is σ = 3108924. Its totient is φ = 357888.

The previous prime is 1075957. The next prime is 1075973. The reversal of 1075968 is 8695701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2071 + ... + 2537.

2^1075968 is an apocalyptic number.

1075968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554462).

1075968 is an abundant number, since it is smaller than the sum of its proper divisors (2032956).

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

1075968 is an equidigital number, since it uses as much as digits as its factorization.

1075968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1075968 is about 1037.2887736788. The cubic root of 1075968 is about 102.4707193778.

The spelling of 1075968 in words is "one million, seventy-five thousand, nine hundred sixty-eight".