1170864000 has 384 divisors, whose sum is σ = 4319153280. Its totient is φ = 303820800.

The previous prime is 1170863989. The next prime is 1170864007. The reversal of 1170864000 is 4680711.

It is a happy number.

1170864000 is a `hidden beast` number, since 1 + 17 + 0 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1170864007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6767914 + ... + 6768086.

It is an arithmetic number, because the mean of its divisors is an integer number (11247795).

Almost surely, 2^1170864000 is an apocalyptic number.

1170864000 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 1170864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159576640).

1170864000 is an abundant number, since it is smaller than the sum of its proper divisors (3148289280).

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

1170864000 is a wasteful number, since it uses less digits than its factorization.

1170864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1170864000 is about 34217.8900576877. The cubic root of 1170864000 is about 1053.9875584684.

The spelling of 1170864000 in words is "one billion, one hundred seventy million, eight hundred sixty-four thousand".