1168632000 has 168 divisors, whose sum is σ = 4180648992. Its totient is φ = 311616000.

The previous prime is 1168631987. The next prime is 1168632007. The reversal of 1168632000 is 2368611.

It is not an unprimeable number, because it can be changed into a prime (1168632007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63885 + ... + 80115.

Almost surely, 2^1168632000 is an apocalyptic number.

1168632000 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 1168632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090324496).

1168632000 is an abundant number, since it is smaller than the sum of its proper divisors (3012016992).

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

1168632000 is a wasteful number, since it uses less digits than its factorization.

1168632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16264 (or 16241 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1168632000 is about 34185.2599814598. The cubic root of 1168632000 is about 1053.3173990361.

The spelling of 1168632000 in words is "one billion, one hundred sixty-eight million, six hundred thirty-two thousand".