1160753664 has 160 divisors (see below), whose sum is σ = 3576735360. Its totient is φ = 327647232.

The previous prime is 1160753647. The next prime is 1160753717. The reversal of 1160753664 is 4663570611.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956322 + ... + 957534.

It is an arithmetic number, because the mean of its divisors is an integer number (22354596).

Almost surely, 2^1160753664 is an apocalyptic number.

1160753664 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 1160753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788367680).

1160753664 is an abundant number, since it is smaller than the sum of its proper divisors (2415981696).

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

1160753664 is an equidigital number, since it uses as much as digits as its factorization.

1160753664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 1160753664 is about 34069.8351037982. The cubic root of 1160753664 is about 1050.9450792608.

The spelling of 1160753664 in words is "one billion, one hundred sixty million, seven hundred fifty-three thousand, six hundred sixty-four".