1133568000 has 448 divisors, whose sum is σ = 4293656640. Its totient is φ = 294912000.

The previous prime is 1133567977. The next prime is 1133568013. The reversal of 1133568000 is 8653311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27647980 + ... + 27648020.

It is an arithmetic number, because the mean of its divisors is an integer number (9584055).

Almost surely, 2^1133568000 is an apocalyptic number.

1133568000 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 1133568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146828320).

1133568000 is an abundant number, since it is smaller than the sum of its proper divisors (3160088640).

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

1133568000 is an frugal number, since it uses more digits than its factorization.

1133568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1133568000 is about 33668.5016001603. The cubic root of 1133568000 is about 1042.6755565845.

1133568000 divided by its product of nonzero digits (2160) gives a triangular number (524800 = T₁₀₂₄).

The spelling of 1133568000 in words is "one billion, one hundred thirty-three million, five hundred sixty-eight thousand".