1187360 has 48 divisors (see below), whose sum is σ = 2889432. Its totient is φ = 460800.

The previous prime is 1187357. The next prime is 1187363. The reversal of 1187360 is 637811.

It is an interprime number because it is at equal distance from previous prime (1187357) and next prime (1187363).

It can be written as a sum of positive squares in 4 ways, for example, as 258064 + 929296 = 508^2 + 964^2 .

It is not an unprimeable number, because it can be changed into a prime (1187363) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6470 + ... + 6650.

2^1187360 is an apocalyptic number.

1187360 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 1187360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444716).

1187360 is an abundant number, since it is smaller than the sum of its proper divisors (1702072).

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

1187360 is a wasteful number, since it uses less digits than its factorization.

1187360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1187360 is about 1089.6604975863. The cubic root of 1187360 is about 105.8914279319.

The spelling of 1187360 in words is "one million, one hundred eighty-seven thousand, three hundred sixty".