1066162240 has 224 divisors, whose sum is σ = 3115397376. Its totient is φ = 341975040.

The previous prime is 1066162193. The next prime is 1066162243. The reversal of 1066162240 is 422616601.

1066162240 = 5668² + 5669² + ... + 5700².

It is a super-2 number, since 2×1066162240² = 2273403844003635200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1066162199 and 1066162208.

It is not an unprimeable number, because it can be changed into a prime (1066162243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1051974 + ... + 1052986.

It is an arithmetic number, because the mean of its divisors is an integer number (13908024).

Almost surely, 2^1066162240 is an apocalyptic number.

1066162240 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 1066162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557698688).

1066162240 is an abundant number, since it is smaller than the sum of its proper divisors (2049235136).

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

1066162240 is a wasteful number, since it uses less digits than its factorization.

1066162240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1066162240 is about 32652.1398992470. The cubic root of 1066162240 is about 1021.5848232492.

Adding to 1066162240 its reverse (422616601), we get a palindrome (1488778841).

It can be divided in two parts, 1066 and 162240, that added together give a triangular number (163306 = T₅₇₁).

The spelling of 1066162240 in words is "one billion, sixty-six million, one hundred sixty-two thousand, two hundred forty".