1066581072 has 60 divisors (see below), whose sum is σ = 2989175124. Its totient is φ = 355023360.

The previous prime is 1066581059. The next prime is 1066581079. The reversal of 1066581072 is 2701856601.

1066581072 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 581 + 0 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 367718976 + 698862096 = 19176^2 + 26436^2 .

It is a super-2 number, since 2×1066581072² = 2275190366297338368, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066581079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104718 + ... + 114450.

Almost surely, 2^1066581072 is an apocalyptic number.

1066581072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1066581072 is an abundant number, since it is smaller than the sum of its proper divisors (1922594052).

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

1066581072 is a wasteful number, since it uses less digits than its factorization.

1066581072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10508 (or 10499 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1066581072 is about 32658.5528154571. The cubic root of 1066581072 is about 1021.7185791268.

The spelling of 1066581072 in words is "one billion, sixty-six million, five hundred eighty-one thousand, seventy-two".