1133364960 has 720 divisors, whose sum is σ = 5086797408. Its totient is φ = 231413760.

The previous prime is 1133364913. The next prime is 1133365001. The reversal of 1133364960 is 694633311.

1133364960 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 3 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1133364960² = 2569032265111603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36560145 + ... + 36560175.

Almost surely, 2^1133364960 is an apocalyptic number.

1133364960 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 1133364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543398704).

1133364960 is an abundant number, since it is smaller than the sum of its proper divisors (3953432448).

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

1133364960 is a wasteful number, since it uses less digits than its factorization.

1133364960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1133364960 is about 33665.4861839243. The cubic root of 1133364960 is about 1042.6132996264.

The spelling of 1133364960 in words is "one billion, one hundred thirty-three million, three hundred sixty-four thousand, nine hundred sixty".