1038432 has 48 divisors (see below), whose sum is σ = 2827440. Its totient is φ = 333312.

The previous prime is 1038421. The next prime is 1038449. The reversal of 1038432 is 2348301.

It is a happy number.

1038432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1038399 and 1038408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2598 + ... + 2970.

It is an arithmetic number, because the mean of its divisors is an integer number (58905).

2^1038432 is an apocalyptic number.

1038432 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 1038432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413720).

1038432 is an abundant number, since it is smaller than the sum of its proper divisors (1789008).

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

1038432 is a wasteful number, since it uses less digits than its factorization.

1038432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1038432 is about 1019.0348374810. The cubic root of 1038432 is about 101.2649970165.

The spelling of 1038432 in words is "one million, thirty-eight thousand, four hundred thirty-two".