1135998864 has 640 divisors, whose sum is σ = 4559708160. Its totient is φ = 261273600.

The previous prime is 1135998859. The next prime is 1135998887. The reversal of 1135998864 is 4688995311.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1866240) is a multiple of the sum of its prime divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1135998864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15999949 + ... + 16000019.

It is an arithmetic number, because the mean of its divisors is an integer number (7124544).

Almost surely, 2^1135998864 is an apocalyptic number.

1135998864 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 1135998864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279854080).

1135998864 is an abundant number, since it is smaller than the sum of its proper divisors (3423709296).

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

1135998864 is a wasteful number, since it uses less digits than its factorization.

1135998864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 1135998864 is about 33704.5822404017. The cubic root of 1135998864 is about 1043.4203414482.

It can be divided in two parts, 1135 and 998864, that added together give a palindrome (999999).

The spelling of 1135998864 in words is "one billion, one hundred thirty-five million, nine hundred ninety-eight thousand, eight hundred sixty-four".