1066382640 has 120 divisors (see below), whose sum is σ = 3696870528. Its totient is φ = 275189760.

The previous prime is 1066382623. The next prime is 1066382641. The reversal of 1066382640 is 462836601.

1066382640 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 3 + 8 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1066382640² = 2274343869786739200, 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 = 1066382595 and 1066382604.

It is not an unprimeable number, because it can be changed into a prime (1066382641) 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, 1569 + ... + 46208.

Almost surely, 2^1066382640 is an apocalyptic number.

1066382640 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 1066382640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848435264).

1066382640 is an abundant number, since it is smaller than the sum of its proper divisors (2630487888).

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

1066382640 is a wasteful number, since it uses less digits than its factorization.

1066382640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47827 (or 47818 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1066382640 is about 32655.5146950710. The cubic root of 1066382640 is about 1021.6552133435.

It can be divided in two parts, 106638 and 2640, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 1066382640 in words is "one billion, sixty-six million, three hundred eighty-two thousand, six hundred forty".