1187296320 has 448 divisors, whose sum is σ = 4810475520. Its totient is φ = 241532928.

The previous prime is 1187296259. The next prime is 1187296351. The reversal of 1187296320 is 236927811.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2170287 + ... + 2170833.

Almost surely, 2^1187296320 is an apocalyptic number.

1187296320 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 1187296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405237760).

1187296320 is an abundant number, since it is smaller than the sum of its proper divisors (3623179200).

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

1187296320 is a wasteful number, since it uses less digits than its factorization.

1187296320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 600 counting only the distinct ones).

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

The square root of 1187296320 is about 34457.1664534390. The cubic root of 1187296320 is about 1058.8953485635.

The spelling of 1187296320 in words is "one billion, one hundred eighty-seven million, two hundred ninety-six thousand, three hundred twenty".