1275327648 has 144 divisors (see below), whose sum is σ = 4171317696. Its totient is φ = 362050560.

The previous prime is 1275327643. The next prime is 1275327649. The reversal of 1275327648 is 8467235721.

1275327648 is a `hidden beast` number, since 1 + 2 + 7 + 532 + 76 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1275327643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326668 + ... + 330548.

It is an arithmetic number, because the mean of its divisors is an integer number (28967484).

Almost surely, 2^1275327648 is an apocalyptic number.

1275327648 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 1275327648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085658848).

1275327648 is an abundant number, since it is smaller than the sum of its proper divisors (2895990048).

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

1275327648 is a wasteful number, since it uses less digits than its factorization.

1275327648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4056 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 1275327648 is about 35711.7298376878. The cubic root of 1275327648 is about 1084.4443197891. Note that the first 3 decimals are identical.

It can be divided in two parts, 12753 and 27648, that added together give a square (40401 = 201²).

The spelling of 1275327648 in words is "one billion, two hundred seventy-five million, three hundred twenty-seven thousand, six hundred forty-eight".