1020330032 has 40 divisors (see below), whose sum is σ = 2044690560. Its totient is φ = 492733440.

The previous prime is 1020330023. The next prime is 1020330037. The reversal of 1020330032 is 2300330201.

It is a super-3 number, since 3×1020330032³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1020329989 and 1020330016.

It is not an unprimeable number, because it can be changed into a prime (1020330037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292394 + ... + 295862.

It is an arithmetic number, because the mean of its divisors is an integer number (51117264).

Almost surely, 2^1020330032 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 1020330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022345280).

1020330032 is an abundant number, since it is smaller than the sum of its proper divisors (1024360528).

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

1020330032 is a wasteful number, since it uses less digits than its factorization.

1020330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4095 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1020330032 is about 31942.6052788435. The cubic root of 1020330032 is about 1006.7312657306.

Adding to 1020330032 its reverse (2300330201), we get a palindrome (3320660233).

The spelling of 1020330032 in words is "one billion, twenty million, three hundred thirty thousand, thirty-two".