1177968 has 80 divisors (see below), whose sum is σ = 3499776. Its totient is φ = 337920.

The previous prime is 1177949. The next prime is 1177987. The reversal of 1177968 is 8697711.

It is an interprime number because it is at equal distance from previous prime (1177949) and next prime (1177987).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12096 + ... + 12192.

2^1177968 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 1177968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749888).

1177968 is an abundant number, since it is smaller than the sum of its proper divisors (2321808).

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

1177968 is a wasteful number, since it uses less digits than its factorization.

1177968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its digits is 21168, while the sum is 39.

The square root of 1177968 is about 1085.3423423050. The cubic root of 1177968 is about 105.6114886490.

It can be divided in two parts, 1177 and 968, that added together give a triangular number (2145 = T₆₅).

The spelling of 1177968 in words is "one million, one hundred seventy-seven thousand, nine hundred sixty-eight".