1020751872 has 104 divisors (see below), whose sum is σ = 3110745216. Its totient is φ = 291618816.

The previous prime is 1020751841. The next prime is 1020751873. The reversal of 1020751872 is 2781570201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020751873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80083 + ... + 91949.

Almost surely, 2^1020751872 is an apocalyptic number.

1020751872 is a gapful number since it is divisible by the number (12) 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 1020751872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555372608).

1020751872 is an abundant number, since it is smaller than the sum of its proper divisors (2089993344).

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

1020751872 is an equidigital number, since it uses as much as digits as its factorization.

1020751872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11901 (or 11879 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 1020751872 is about 31949.2076897065. The cubic root of 1020751872 is about 1006.8699858804.

The spelling of 1020751872 in words is "one billion, twenty million, seven hundred fifty-one thousand, eight hundred seventy-two".