1187144 has 64 divisors (see below), whose sum is σ = 2851200. Its totient is φ = 451584.

The previous prime is 1187141. The next prime is 1187159. The reversal of 1187144 is 4417811.

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 (1187141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27587 + ... + 27629.

It is an arithmetic number, because the mean of its divisors is an integer number (44550).

2^1187144 is an apocalyptic number.

1187144 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 1187144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425600).

1187144 is an abundant number, since it is smaller than the sum of its proper divisors (1664056).

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

1187144 is a wasteful number, since it uses less digits than its factorization.

With its successor (1187145) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (102).

1187144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

The product of its digits is 896, while the sum is 26.

The square root of 1187144 is about 1089.5613796386. The cubic root of 1187144 is about 105.8850064210.

It can be divided in two parts, 1187 and 144, that added together give a palindrome (1331).

The spelling of 1187144 in words is "one million, one hundred eighty-seven thousand, one hundred forty-four".