1187304960 has 160 divisors (see below), whose sum is σ = 3918892032. Its totient is φ = 306339840.

The previous prime is 1187304959. The next prime is 1187304961. The reversal of 1187304960 is 694037811.

It is an interprime number because it is at equal distance from previous prime (1187304959) and next prime (1187304961).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187304961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235587 + ... + 240573.

Almost surely, 2^1187304960 is an apocalyptic number.

1187304960 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 1187304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959446016).

1187304960 is an abundant number, since it is smaller than the sum of its proper divisors (2731587072).

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

1187304960 is an equidigital number, since it uses as much as digits as its factorization.

1187304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1187304960 is about 34457.2918262594. The cubic root of 1187304960 is about 1058.8979170977.

The spelling of 1187304960 in words is "one billion, one hundred eighty-seven million, three hundred four thousand, nine hundred sixty".