1164987936 has 216 divisors, whose sum is σ = 3979632384. Its totient is φ = 321995520.

The previous prime is 1164987823. The next prime is 1164987937. The reversal of 1164987936 is 6397894611.

1164987936 is a `hidden beast` number, since 116 + 498 + 7 + 9 + 36 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1164987937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 436141 + ... + 438803.

It is an arithmetic number, because the mean of its divisors is an integer number (18424224).

Almost surely, 2^1164987936 is an apocalyptic number.

1164987936 is a gapful number since it is divisible by the number (16) 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 1164987936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989816192).

1164987936 is an abundant number, since it is smaller than the sum of its proper divisors (2814644448).

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

1164987936 is a wasteful number, since it uses less digits than its factorization.

1164987936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2724 (or 2706 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1164987936 is about 34131.9196061399. The cubic root of 1164987936 is about 1052.2214302548.

The spelling of 1164987936 in words is "one billion, one hundred sixty-four million, nine hundred eighty-seven thousand, nine hundred thirty-six".