1066553344 has 104 divisors (see below), whose sum is σ = 2308879080. Its totient is φ = 492437504.

The previous prime is 1066553339. The next prime is 1066553351. The reversal of 1066553344 is 4433556601.

It can be written as a sum of positive squares in 4 ways, for example, as 298598400 + 767954944 = 17280^2 + 27712^2 .

It is a super-2 number, since 2×1066553344² = 2275072071195164672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20123622 + ... + 20123674.

Almost surely, 2^1066553344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154439540).

1066553344 is an abundant number, since it is smaller than the sum of its proper divisors (1242325736).

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

1066553344 is an frugal number, since it uses more digits than its factorization.

1066553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The square root of 1066553344 is about 32658.1282990927. The cubic root of 1066553344 is about 1021.7097251481.

It can be divided in two parts, 10665 and 53344, that added together give a square (64009 = 253²).

The spelling of 1066553344 in words is "one billion, sixty-six million, five hundred fifty-three thousand, three hundred forty-four".