1066085712 has 60 divisors (see below), whose sum is σ = 3094072800. Its totient is φ = 355360608.

The previous prime is 1066085711. The next prime is 1066085717. The reversal of 1066085712 is 2175806601.

It is a super-2 number, since 2×1066085712² = 2273077490661093888, 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 (1066085711) 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, 133212 + ... + 140987.

It is an arithmetic number, because the mean of its divisors is an integer number (51567880).

Almost surely, 2^1066085712 is an apocalyptic number.

1066085712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1066085712 is an abundant number, since it is smaller than the sum of its proper divisors (2027987088).

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

1066085712 is an equidigital number, since it uses as much as digits as its factorization.

1066085712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274222 (or 274204 counting only the distinct ones).

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

The square root of 1066085712 is about 32650.9680101525. The cubic root of 1066085712 is about 1021.5603799043.

The spelling of 1066085712 in words is "one billion, sixty-six million, eighty-five thousand, seven hundred twelve".