1123668000 has 720 divisors, whose sum is σ = 5010137496. Its totient is φ = 237081600.

The previous prime is 1123667983. The next prime is 1123668001. The reversal of 1123668000 is 8663211.

It can be written as a sum of positive squares in 4 ways, for example, as 152473104 + 971194896 = 12348^2 + 31164^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1123668001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86435994 + ... + 86436006.

Almost surely, 2^1123668000 is an apocalyptic number.

1123668000 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 1123668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505068748).

1123668000 is an abundant number, since it is smaller than the sum of its proper divisors (3886469496).

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

1123668000 is an equidigital number, since it uses as much as digits as its factorization.

1123668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1123668000 is about 33521.1574979147. The cubic root of 1123668000 is about 1039.6312795461.

The spelling of 1123668000 in words is "one billion, one hundred twenty-three million, six hundred sixty-eight thousand".