1187563680 has 240 divisors, whose sum is σ = 4290590304. Its totient is φ = 309173760.

The previous prime is 1187563673. The next prime is 1187563681. The reversal of 1187563680 is 863657811.

1187563680 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 5 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1187563681) 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 39 ways as a sum of consecutive naturals, for example, 556215 + ... + 558345.

Almost surely, 2^1187563680 is an apocalyptic number.

1187563680 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 1187563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145295152).

1187563680 is an abundant number, since it is smaller than the sum of its proper divisors (3103026624).

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

1187563680 is a wasteful number, since it uses less digits than its factorization.

1187563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1187563680 is about 34461.0458343910. The cubic root of 1187563680 is about 1058.9748246549.

The spelling of 1187563680 in words is "one billion, one hundred eighty-seven million, five hundred sixty-three thousand, six hundred eighty".