1020166056 has 512 divisors, whose sum is σ = 3832012800. Its totient is φ = 243855360.

The previous prime is 1020166051. The next prime is 1020166097. The reversal of 1020166056 is 6506610201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1020166051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14368501 + ... + 14368571.

It is an arithmetic number, because the mean of its divisors is an integer number (7484400).

Almost surely, 2^1020166056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020166056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916006400).

1020166056 is an abundant number, since it is smaller than the sum of its proper divisors (2811846744).

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

1020166056 is a wasteful number, since it uses less digits than its factorization.

1020166056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1020166056 is about 31940.0384470652. The cubic root of 1020166056 is about 1006.6773326550.

Adding to 1020166056 its reverse (6506610201), we get a palindrome (7526776257).

The spelling of 1020166056 in words is "one billion, twenty million, one hundred sixty-six thousand, fifty-six".