1260768 has 48 divisors (see below), whose sum is σ = 3459456. Its totient is φ = 401280.

The previous prime is 1260767. The next prime is 1260769. The reversal of 1260768 is 8670621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1260767) and next prime (1260769).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1260767) 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, 1923 + ... + 2493.

It is an arithmetic number, because the mean of its divisors is an integer number (72072).

2^1260768 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 1260768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729728).

1260768 is an abundant number, since it is smaller than the sum of its proper divisors (2198688).

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

1260768 is a wasteful number, since it uses less digits than its factorization.

1260768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1260768 is about 1122.8392583090. The cubic root of 1260768 is about 108.0301698977.

The spelling of 1260768 in words is "one million, two hundred sixty thousand, seven hundred sixty-eight".