1268064 has 144 divisors (see below), whose sum is σ = 4481568. Its totient is φ = 331776.

The previous prime is 1268053. The next prime is 1268077. The reversal of 1268064 is 4608621.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34254 + ... + 34290.

It is an arithmetic number, because the mean of its divisors is an integer number (31122).

2^1268064 is an apocalyptic number.

1268064 is a gapful number since it is divisible by the number (14) 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 1268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240784).

1268064 is an abundant number, since it is smaller than the sum of its proper divisors (3213504).

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

1268064 is a wasteful number, since it uses less digits than its factorization.

1268064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1268064 is about 1126.0834782555. The cubic root of 1268064 is about 108.2381575654.

It can be divided in two parts, 126 and 8064, that multiplied together give a square (1016064 = 1008²).

The spelling of 1268064 in words is "one million, two hundred sixty-eight thousand, sixty-four".