1066291200 has 468 divisors, whose sum is σ = 4159225980. Its totient is φ = 259522560.

The previous prime is 1066291199. The next prime is 1066291241. The reversal of 1066291200 is 21926601.

1066291200 is a `hidden beast` number, since 10 + 6 + 629 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 247873536 + 818417664 = 15744^2 + 28608^2 .

It is a tau number, because it is divible by the number of its divisors (468).

It is a super-2 number, since 2×1066291200² = 2273953846394880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11980756 + ... + 11980844.

It is an arithmetic number, because the mean of its divisors is an integer number (8887235).

Almost surely, 2^1066291200 is an apocalyptic number.

1066291200 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 1066291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079612990).

1066291200 is an abundant number, since it is smaller than the sum of its proper divisors (3092934780).

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

1066291200 is a wasteful number, since it uses less digits than its factorization.

1066291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1066291200 is about 32654.1145952543. The cubic root of 1066291200 is about 1021.6260109354.

The spelling of 1066291200 in words is "one billion, sixty-six million, two hundred ninety-one thousand, two hundred".