1066544640 has 480 divisors, whose sum is σ = 4481231040. Its totient is φ = 228851712.

The previous prime is 1066544627. The next prime is 1066544693. The reversal of 1066544640 is 464456601.

1066544640 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 4 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1066544640² = 2275034938225459200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1066544595 and 1066544604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2741566 + ... + 2741954.

It is an arithmetic number, because the mean of its divisors is an integer number (9335898).

Almost surely, 2^1066544640 is an apocalyptic number.

1066544640 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 1066544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240615520).

1066544640 is an abundant number, since it is smaller than the sum of its proper divisors (3414686400).

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

1066544640 is a wasteful number, since it uses less digits than its factorization.

1066544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1066544640 is about 32657.9950394999. The cubic root of 1066544640 is about 1021.7069457948.

The spelling of 1066544640 in words is "one billion, sixty-six million, five hundred forty-four thousand, six hundred forty".