1066989600 has 108 divisors (see below), whose sum is σ = 3762497466. Its totient is φ = 284528640.

The previous prime is 1066989577. The next prime is 1066989607. The reversal of 1066989600 is 69896601.

1066989600 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 873557136 + 193432464 = 29556^2 + 13908^2 .

It is a super-2 number, since 2×1066989600² = 2276933613016320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1066989607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66897 + ... + 81296.

Almost surely, 2^1066989600 is an apocalyptic number.

1066989600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066989600 is an abundant number, since it is smaller than the sum of its proper divisors (2695507866).

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

1066989600 is a wasteful number, since it uses less digits than its factorization.

1066989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148219 (or 148203 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1066989600 is about 32664.8067497728. The cubic root of 1066989600 is about 1021.8490106456.

The spelling of 1066989600 in words is "one billion, sixty-six million, nine hundred eighty-nine thousand, six hundred".