1165887600 has 120 divisors (see below), whose sum is σ = 3743010432. Its totient is φ = 310214400.

The previous prime is 1165887553. The next prime is 1165887623. The reversal of 1165887600 is 67885611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 770845 + ... + 772355.

Almost surely, 2^1165887600 is an apocalyptic number.

1165887600 is a gapful number since it is divisible by the number (10) 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 1165887600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871505216).

1165887600 is an abundant number, since it is smaller than the sum of its proper divisors (2577122832).

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

1165887600 is a wasteful number, since it uses less digits than its factorization.

1165887600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 1165887600 is about 34145.0962804324. The cubic root of 1165887600 is about 1052.4922205160.

The spelling of 1165887600 in words is "one billion, one hundred sixty-five million, eight hundred eighty-seven thousand, six hundred".