1200768 has 64 divisors (see below), whose sum is σ = 3304800. Its totient is φ = 386048.

The previous prime is 1200751. The next prime is 1200779. The reversal of 1200768 is 8670021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 20323 + ... + 20381.

2^1200768 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 1200768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652400).

1200768 is an abundant number, since it is smaller than the sum of its proper divisors (2104032).

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

1200768 is an equidigital number, since it uses as much as digits as its factorization.

1200768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1200768 is about 1095.7956013783. The cubic root of 1200768 is about 106.2885221332.

Adding to 1200768 its reverse (8670021), we get a palindrome (9870789).

It can be divided in two parts, 1200 and 768, that multiplied together give a square (921600 = 960²).

The spelling of 1200768 in words is "one million, two hundred thousand, seven hundred sixty-eight".