1133668900 has 243 divisors, whose sum is σ = 3184782489. Its totient is φ = 349090560.

The previous prime is 1133668889. The next prime is 1133668931. The reversal of 1133668900 is 98663311.

1133668900 = 1³ + 2³ + ... + 259³.

The square root of 1133668900 is 33670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 654234084 + 479434816 = 25578^2 + 21896^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1133668900.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30639682 + ... + 30639718.

Almost surely, 2^1133668900 is an apocalyptic number.

1133668900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1133668900 is the 33670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133668900

1133668900 is an abundant number, since it is smaller than the sum of its proper divisors (2051113589).

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

1133668900 is a wasteful number, since it uses less digits than its factorization.

1133668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The cubic root of 1133668900 is about 1042.7064921914.

The spelling of 1133668900 in words is "one billion, one hundred thirty-three million, six hundred sixty-eight thousand, nine hundred".