1036032 has 72 divisors (see below), whose sum is σ = 2943360. Its totient is φ = 322560.

The previous prime is 1036027. The next prime is 1036039. The reversal of 1036032 is 2306301.

1036032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1036032³ = 3336113086795874304, which contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1036039) 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, 14557 + ... + 14627.

It is an arithmetic number, because the mean of its divisors is an integer number (40880).

2^1036032 is an apocalyptic number.

1036032 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 1036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471680).

1036032 is an abundant number, since it is smaller than the sum of its proper divisors (1907328).

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

1036032 is an equidigital number, since it uses as much as digits as its factorization.

1036032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1036032 is about 1017.8565714284. The cubic root of 1036032 is about 101.1869230657.

The spelling of 1036032 in words is "one million, thirty-six thousand, thirty-two".