1172864000 has 528 divisors, whose sum is σ = 3931615584. Its totient is φ = 344064000.

The previous prime is 1172863973. The next prime is 1172864003. The reversal of 1172864000 is 4682711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1172864003) 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, 68991992 + ... + 68992008.

Almost surely, 2^1172864000 is an apocalyptic number.

1172864000 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 1172864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965807792).

1172864000 is an abundant number, since it is smaller than the sum of its proper divisors (2758751584).

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

1172864000 is a wasteful number, since it uses less digits than its factorization.

1172864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 1172864000 is about 34247.1020671823. The cubic root of 1172864000 is about 1054.5873366424.

The spelling of 1172864000 in words is "one billion, one hundred seventy-two million, eight hundred sixty-four thousand".