1020350166 has 96 divisors (see below), whose sum is σ = 2426941440. Its totient is φ = 284655360.

The previous prime is 1020350161. The next prime is 1020350197. The reversal of 1020350166 is 6610530201.

It is a super-2 number, since 2×1020350166² = 2082228922512455112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020350161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579195 + ... + 580953.

It is an arithmetic number, because the mean of its divisors is an integer number (25280640).

Almost surely, 2^1020350166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020350166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213470720).

1020350166 is an abundant number, since it is smaller than the sum of its proper divisors (1406591274).

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

1020350166 is a wasteful number, since it uses less digits than its factorization.

1020350166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1020350166 is about 31942.9204363033. The cubic root of 1020350166 is about 1006.7378875730.

Adding to 1020350166 its reverse (6610530201), we get a palindrome (7630880367).

The spelling of 1020350166 in words is "one billion, twenty million, three hundred fifty thousand, one hundred sixty-six".