1020066516 has 108 divisors (see below), whose sum is σ = 3020390100. Its totient is φ = 289416960.

The previous prime is 1020066479. The next prime is 1020066529. The reversal of 1020066516 is 6156600201.

It is a happy number.

1020066516 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 6 + 651 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 357210000 + 662856516 = 18900^2 + 25746^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1020066516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 260896 + ... + 264776.

It is an arithmetic number, because the mean of its divisors is an integer number (27966575).

Almost surely, 2^1020066516 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 1020066516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510195050).

1020066516 is an abundant number, since it is smaller than the sum of its proper divisors (2000323584).

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

1020066516 is a wasteful number, since it uses less digits than its factorization.

1020066516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4042 counting only the distinct ones).

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

The square root of 1020066516 is about 31938.4801767398. The cubic root of 1020066516 is about 1006.6445902989.

Adding to 1020066516 its reverse (6156600201), we get a palindrome (7176666717).

The spelling of 1020066516 in words is "one billion, twenty million, sixty-six thousand, five hundred sixteen".