1187645760 has 448 divisors, whose sum is σ = 4871923200. Its totient is φ = 266747904.

The previous prime is 1187645759. The next prime is 1187645777. The reversal of 1187645760 is 675467811.

1187645760 is a `hidden beast` number, since 1 + 1 + 8 + 76 + 4 + 576 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4414906 + ... + 4415174.

Almost surely, 2^1187645760 is an apocalyptic number.

1187645760 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 1187645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435961600).

1187645760 is an abundant number, since it is smaller than the sum of its proper divisors (3684277440).

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

1187645760 is a wasteful number, since it uses less digits than its factorization.

1187645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1187645760 is about 34462.2367236951. The cubic root of 1187645760 is about 1058.9992215645. Note that the first 3 decimals are identical.

The spelling of 1187645760 in words is "one billion, one hundred eighty-seven million, six hundred forty-five thousand, seven hundred sixty".