1187376768 has 192 divisors, whose sum is σ = 3559912200. Its totient is φ = 379551744.

The previous prime is 1187376719. The next prime is 1187376779. The reversal of 1187376768 is 8676737811.

It can be written as a sum of positive squares in 4 ways, for example, as 713530944 + 473845824 = 26712^2 + 21768^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1187376768² = 2819727178372251648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3793380 + ... + 3793692.

Almost surely, 2^1187376768 is an apocalyptic number.

1187376768 is a gapful number since it is divisible by the number (18) 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 1187376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779956100).

1187376768 is an abundant number, since it is smaller than the sum of its proper divisors (2372535432).

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

1187376768 is a wasteful number, since it uses less digits than its factorization.

1187376768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 444 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 1187376768 is about 34458.3337960500. Note that the first 3 decimals coincide. The cubic root of 1187376768 is about 1058.9192639887.

The spelling of 1187376768 in words is "one billion, one hundred eighty-seven million, three hundred seventy-six thousand, seven hundred sixty-eight".