1038672 has 30 divisors (see below), whose sum is σ = 2907242. Its totient is φ = 346176.

The previous prime is 1038671. The next prime is 1038689. The reversal of 1038672 is 2768301.

It can be written as a sum of positive squares in only one way, i.e., 992016 + 46656 = 996^2 + 216^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3463 + ... + 3750.

2^1038672 is an apocalyptic number.

1038672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1038672 is an abundant number, since it is smaller than the sum of its proper divisors (1868570).

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

1038672 is a wasteful number, since it uses less digits than its factorization.

1038672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7227 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1038672 is about 1019.1525891642. The cubic root of 1038672 is about 101.2727977928.

The spelling of 1038672 in words is "one million, thirty-eight thousand, six hundred seventy-two".