1036033020 has 144 divisors (see below), whose sum is σ = 3539128320. Its totient is φ = 243043200.

The previous prime is 1036033003. The next prime is 1036033021. The reversal of 1036033020 is 203306301.

It is a happy number.

1036033020 is a `hidden beast` number, since 1 + 0 + 360 + 3 + 302 + 0 = 666.

It is a super-3 number, since 3×1036033020³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1036032984 and 1036033002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036033021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52941 + ... + 69819.

It is an arithmetic number, because the mean of its divisors is an integer number (24577280).

Almost surely, 2^1036033020 is an apocalyptic number.

1036033020 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 1036033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769564160).

1036033020 is an abundant number, since it is smaller than the sum of its proper divisors (2503095300).

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

1036033020 is a wasteful number, since it uses less digits than its factorization.

1036033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16936 (or 16931 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1036033020 is about 32187.4668155169. The cubic root of 1036033020 is about 1011.8695627269.

Adding to 1036033020 its reverse (203306301), we get a palindrome (1239339321).

The spelling of 1036033020 in words is "one billion, thirty-six million, thirty-three thousand, twenty".