1066016448 has 168 divisors, whose sum is σ = 3505931520. Its totient is φ = 303367680.

The previous prime is 1066016429. The next prime is 1066016449. The reversal of 1066016448 is 8446106601.

1066016448 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 1 + 644 + 8 = 666.

1066016448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1066016448² = 2272782134813073408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1066016449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1689093 + ... + 1689723.

It is an arithmetic number, because the mean of its divisors is an integer number (20868640).

Almost surely, 2^1066016448 is an apocalyptic number.

1066016448 is a gapful number since it is divisible by the number (18) 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 1066016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752965760).

1066016448 is an abundant number, since it is smaller than the sum of its proper divisors (2439915072).

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

1066016448 is a wasteful number, since it uses less digits than its factorization.

1066016448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1062 counting only the distinct ones).

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

The square root of 1066016448 is about 32649.9073199297. The cubic root of 1066016448 is about 1021.5382557012.

The spelling of 1066016448 in words is "one billion, sixty-six million, sixteen thousand, four hundred forty-eight".