1075707648 has 144 divisors (see below), whose sum is σ = 3348889600. Its totient is φ = 339655680.

The previous prime is 1075707613. The next prime is 1075707649. The reversal of 1075707648 is 8467075701.

1075707648 is a `hidden beast` number, since 1 + 0 + 7 + 570 + 76 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075707649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127233 + ... + 135423.

Almost surely, 2^1075707648 is an apocalyptic number.

1075707648 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 1075707648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674444800).

1075707648 is an abundant number, since it is smaller than the sum of its proper divisors (2273181952).

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

1075707648 is an equidigital number, since it uses as much as digits as its factorization.

1075707648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 1075707648 is about 32797.9823769695. The cubic root of 1075707648 is about 1024.6245376368.

The spelling of 1075707648 in words is "one billion, seventy-five million, seven hundred seven thousand, six hundred forty-eight".