1066348800 has 810 divisors, whose sum is σ = 4588725834. Its totient is φ = 243302400.

The previous prime is 1066348753. The next prime is 1066348813. The reversal of 1066348800 is 88436601.

It is a happy number.

1066348800 is a `hidden beast` number, since 10 + 6 + 634 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 160579584 + 905769216 = 12672^2 + 30096^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a super-2 number, since 2×1066348800² = 2274199526522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 62726392 + ... + 62726408.

Almost surely, 2^1066348800 is an apocalyptic number.

1066348800 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 1066348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294362917).

1066348800 is an abundant number, since it is smaller than the sum of its proper divisors (3522377034).

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

1066348800 is a wasteful number, since it uses less digits than its factorization.

1066348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1066348800 is about 32654.9965548919. The cubic root of 1066348800 is about 1021.6444063477.

It can be divided in two parts, 1066 and 348800, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 1066348800 in words is "one billion, sixty-six million, three hundred forty-eight thousand, eight hundred".