1157967306 has 48 divisors (see below), whose sum is σ = 2610844800. Its totient is φ = 380371680.

The previous prime is 1157967301. The next prime is 1157967313. The reversal of 1157967306 is 6037697511.

1157967306 is a `hidden beast` number, since 1 + 1 + 579 + 6 + 73 + 0 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1157967301) 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 23 ways as a sum of consecutive naturals, for example, 2222326 + ... + 2222846.

It is an arithmetic number, because the mean of its divisors is an integer number (54392600).

Almost surely, 2^1157967306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157967306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305422400).

1157967306 is an abundant number, since it is smaller than the sum of its proper divisors (1452877494).

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

1157967306 is an frugal number, since it uses more digits than its factorization.

1157967306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 1157967306 is about 34028.9186722117. The cubic root of 1157967306 is about 1050.1034836783.

The spelling of 1157967306 in words is "one billion, one hundred fifty-seven million, nine hundred sixty-seven thousand, three hundred six".