1012820820 has 144 divisors (see below), whose sum is σ = 3169630464. Its totient is φ = 241401600.

The previous prime is 1012820803. The next prime is 1012820899. The reversal of 1012820820 is 280282101.

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 47 ways as a sum of consecutive naturals, for example, 441717 + ... + 444003.

Almost surely, 2^1012820820 is an apocalyptic number.

1012820820 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 1012820820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584815232).

1012820820 is an abundant number, since it is smaller than the sum of its proper divisors (2156809644).

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

1012820820 is a wasteful number, since it uses less digits than its factorization.

1012820820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 1012820820 is about 31824.8459540655. The cubic root of 1012820820 is about 1004.2554719377.

The spelling of 1012820820 in words is "one billion, twelve million, eight hundred twenty thousand, eight hundred twenty".