1068768 has 48 divisors (see below), whose sum is σ = 3119760. Its totient is φ = 355968.

The previous prime is 1068761. The next prime is 1068779. The reversal of 1068768 is 8678601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1068768² = 2284530075648, which contains 22 as substring.

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

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246 + ... + 1482.

It is an arithmetic number, because the mean of its divisors is an integer number (64995).

2^1068768 is an apocalyptic number.

1068768 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 1068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559880).

1068768 is an abundant number, since it is smaller than the sum of its proper divisors (2050992).

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

1068768 is a wasteful number, since it uses less digits than its factorization.

1068768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1068768 is about 1033.8123620851. The cubic root of 1068768 is about 102.2416416232.

The spelling of 1068768 in words is "one million, sixty-eight thousand, seven hundred sixty-eight".