1032020020 has 96 divisors (see below), whose sum is σ = 2377208736. Its totient is φ = 374784000.

The previous prime is 1032020009. The next prime is 1032020027. The reversal of 1032020020 is 200202301.

It can be written as a sum of positive squares in 16 ways, for example, as 197136 + 1031822884 = 444^2 + 32122^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1032019979 and 1032020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032020027) 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 31 ways as a sum of consecutive naturals, for example, 1407574 + ... + 1408306.

It is an arithmetic number, because the mean of its divisors is an integer number (24762591).

Almost surely, 2^1032020020 is an apocalyptic number.

1032020020 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 1032020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188604368).

1032020020 is an abundant number, since it is smaller than the sum of its proper divisors (1345188716).

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

1032020020 is a wasteful number, since it uses less digits than its factorization.

1032020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1032020020 is about 32125.0684045964. The cubic root of 1032020020 is about 1010.5614040598.

Adding to 1032020020 its reverse (200202301), we get a palindrome (1232222321).

The spelling of 1032020020 in words is "one billion, thirty-two million, twenty thousand, twenty".