1020631164 has 96 divisors (see below), whose sum is σ = 2847882240. Its totient is φ = 278158848.

The previous prime is 1020631127. The next prime is 1020631207. The reversal of 1020631164 is 4611360201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1261192 + ... + 1262000.

It is an arithmetic number, because the mean of its divisors is an integer number (29665440).

Almost surely, 2^1020631164 is an apocalyptic number.

1020631164 is a gapful number since it is divisible by the number (14) 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 1020631164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423941120).

1020631164 is an abundant number, since it is smaller than the sum of its proper divisors (1827251076).

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

1020631164 is a wasteful number, since it uses less digits than its factorization.

1020631164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1020631164 is about 31947.3185729256. The cubic root of 1020631164 is about 1006.8302955121.

Adding to 1020631164 its reverse (4611360201), we get a palindrome (5631991365).

The spelling of 1020631164 in words is "one billion, twenty million, six hundred thirty-one thousand, one hundred sixty-four".