1157968 has 40 divisors (see below), whose sum is σ = 2628800. Its totient is φ = 493920.

The previous prime is 1157953. The next prime is 1157969. The reversal of 1157968 is 8697511.

Its product of digits (15120) is a multiple of the sum of its prime factors (240).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157969) 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, 5383 + ... + 5593.

It is an arithmetic number, because the mean of its divisors is an integer number (65720).

2^1157968 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 1157968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314400).

1157968 is an abundant number, since it is smaller than the sum of its proper divisors (1470832).

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

1157968 is an equidigital number, since it uses as much as digits as its factorization.

1157968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its digits is 15120, while the sum is 37.

The square root of 1157968 is about 1076.0892156322. The cubic root of 1157968 is about 105.0103693463.

The spelling of 1157968 in words is "one million, one hundred fifty-seven thousand, nine hundred sixty-eight".