1187136 has 70 divisors (see below), whose sum is σ = 3534410. Its totient is φ = 393984.

The previous prime is 1187117. The next prime is 1187141. The reversal of 1187136 is 6317811.

It can be written as a sum of positive squares in only one way, i.e., 1166400 + 20736 = 1080^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5070 + ... + 5298.

2^1187136 is an apocalyptic number.

1187136 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 1187136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767205).

1187136 is an abundant number, since it is smaller than the sum of its proper divisors (2347274).

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

1187136 is an equidigital number, since it uses as much as digits as its factorization.

1187136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 234 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 1187136 is about 1089.5577084304. The cubic root of 1187136 is about 105.8847685723.

The spelling of 1187136 in words is "one million, one hundred eighty-seven thousand, one hundred thirty-six".