1187280 has 120 divisors (see below), whose sum is σ = 4265352. Its totient is φ = 294912.

The previous prime is 1187279. The next prime is 1187287. The reversal of 1187280 is 827811.

It can be written as a sum of positive squares in 4 ways, for example, as 219024 + 968256 = 468^2 + 984^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12192 + ... + 12288.

2^1187280 is an apocalyptic number.

1187280 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 1187280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132676).

1187280 is an abundant number, since it is smaller than the sum of its proper divisors (3078072).

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

1187280 is a wasteful number, since it uses less digits than its factorization.

1187280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1187280 is about 1089.6237882866. The cubic root of 1187280 is about 105.8890496854.

The spelling of 1187280 in words is "one million, one hundred eighty-seven thousand, two hundred eighty".