1186768 has 30 divisors (see below), whose sum is σ = 2531522. Its totient is φ = 538560.

The previous prime is 1186751. The next prime is 1186769. The reversal of 1186768 is 8676811.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 559504 = 792^2 + 748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1186769) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1630 + ... + 2242.

2^1186768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1186768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265761).

1186768 is an abundant number, since it is smaller than the sum of its proper divisors (1344754).

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

1186768 is a wasteful number, since it uses less digits than its factorization.

1186768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its digits is 16128, while the sum is 37.

The square root of 1186768 is about 1089.3888194763. The cubic root of 1186768 is about 105.8738263771.

It can be divided in two parts, 11867 and 68, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 1186768 in words is "one million, one hundred eighty-six thousand, seven hundred sixty-eight".