1172368000 has 128 divisors (see below), whose sum is σ = 2978726400. Its totient is φ = 458675200.

The previous prime is 1172367971. The next prime is 1172368009. The reversal of 1172368000 is 8632711.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1172368000.

It is not an unprimeable number, because it can be changed into a prime (1172368009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751221 + ... + 752779.

It is an arithmetic number, because the mean of its divisors is an integer number (23271300).

Almost surely, 2^1172368000 is an apocalyptic number.

1172368000 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 1172368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489363200).

1172368000 is an abundant number, since it is smaller than the sum of its proper divisors (1806358400).

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

1172368000 is an equidigital number, since it uses as much as digits as its factorization.

1172368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1172368000 is about 34239.8598127971. The cubic root of 1172368000 is about 1054.4386552744.

The spelling of 1172368000 in words is "one billion, one hundred seventy-two million, three hundred sixty-eight thousand".