1012032 has 84 divisors (see below), whose sum is σ = 3328416. Its totient is φ = 288000.

The previous prime is 1012031. The next prime is 1012043. The reversal of 1012032 is 2302101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3907 + ... + 4157.

It is an arithmetic number, because the mean of its divisors is an integer number (39624).

2^1012032 is an apocalyptic number.

1012032 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 1012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664208).

1012032 is an abundant number, since it is smaller than the sum of its proper divisors (2316384).

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

1012032 is a wasteful number, since it uses less digits than its factorization.

1012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1012032 is about 1005.9980119265. The cubic root of 1012032 is about 100.3994687887.

Adding to 1012032 its reverse (2302101), we get a palindrome (3314133).

The spelling of 1012032 in words is "one million, twelve thousand, thirty-two".