1066505680 has 40 divisors (see below), whose sum is σ = 2482097832. Its totient is φ = 426177024.

The previous prime is 1066505669. The next prime is 1066505683. The reversal of 1066505680 is 865056601.

It can be written as a sum of positive squares in 4 ways, for example, as 508412304 + 558093376 = 22548^2 + 23624^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1066505680² = 2274868730944524800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066505683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81342 + ... + 93538.

Almost surely, 2^1066505680 is an apocalyptic number.

1066505680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1066505680 is an abundant number, since it is smaller than the sum of its proper divisors (1415592152).

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

1066505680 is a wasteful number, since it uses less digits than its factorization.

1066505680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13303 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 1066505680 is about 32657.3985491802. The cubic root of 1066505680 is about 1021.6945049381.

The spelling of 1066505680 in words is "one billion, sixty-six million, five hundred five thousand, six hundred eighty".