1053668000 has 288 divisors, whose sum is σ = 3262581504. Its totient is φ = 327360000.

The previous prime is 1053667921. The next prime is 1053668003. The reversal of 1053668000 is 8663501.

It is a super-2 number, since 2×1053668000² = 2220432508448000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053668003) 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, 3387845 + ... + 3388155.

It is an arithmetic number, because the mean of its divisors is an integer number (11328408).

Almost surely, 2^1053668000 is an apocalyptic number.

1053668000 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 1053668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631290752).

1053668000 is an abundant number, since it is smaller than the sum of its proper divisors (2208913504).

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

1053668000 is a wasteful number, since it uses less digits than its factorization.

1053668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 1053668000 is about 32460.2526176245. The cubic root of 1053668000 is about 1017.5785184112.

The spelling of 1053668000 in words is "one billion, fifty-three million, six hundred sixty-eight thousand".