1157361984 has 84 divisors (see below), whose sum is σ = 3322076160. Its totient is φ = 385240320.

The previous prime is 1157361977. The next prime is 1157362051. The reversal of 1157361984 is 4891637511.

1157361984 is a `hidden beast` number, since 11 + 573 + 61 + 9 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735919 + ... + 737489.

Almost surely, 2^1157361984 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 1157361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661038080).

1157361984 is an abundant number, since it is smaller than the sum of its proper divisors (2164714176).

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

1157361984 is a wasteful number, since it uses less digits than its factorization.

1157361984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2855 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 1157361984 is about 34020.0232804153. The cubic root of 1157361984 is about 1049.9204728883.

The spelling of 1157361984 in words is "one billion, one hundred fifty-seven million, three hundred sixty-one thousand, nine hundred eighty-four".