1020032 has 32 divisors (see below), whose sum is σ = 2191980. Its totient is φ = 470016.

The previous prime is 1020023. The next prime is 1020037. The reversal of 1020032 is 2300201.

It can be written as a sum of positive squares in 2 ways, for example, as 732736 + 287296 = 856^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (1020037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1358 + ... + 1970.

2^1020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095990).

1020032 is an abundant number, since it is smaller than the sum of its proper divisors (1171948).

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

1020032 is an equidigital number, since it uses as much as digits as its factorization.

1020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1020032 is about 1009.9663360726. The cubic root of 1020032 is about 100.6633236223.

Adding to 1020032 its reverse (2300201), we get a palindrome (3320233).

The spelling of 1020032 in words is "one million, twenty thousand, thirty-two".