1177668672 has 112 divisors (see below), whose sum is σ = 3233708544. Its totient is φ = 377856000.

The previous prime is 1177668629. The next prime is 1177668673. The reversal of 1177668672 is 2768667711.

It is not an unprimeable number, because it can be changed into a prime (1177668673) 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 15 ways as a sum of consecutive naturals, for example, 1434022 + ... + 1434842.

Almost surely, 2^1177668672 is an apocalyptic number.

1177668672 is a gapful number since it is divisible by the number (12) 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 1177668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616854272).

1177668672 is an abundant number, since it is smaller than the sum of its proper divisors (2056039872).

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

1177668672 is a wasteful number, since it uses less digits than its factorization.

1177668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1098 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 51.

The square root of 1177668672 is about 34317.1775063160. The cubic root of 1177668672 is about 1056.0254240894.

The spelling of 1177668672 in words is "one billion, one hundred seventy-seven million, six hundred sixty-eight thousand, six hundred seventy-two".