1038048 has 48 divisors (see below), whose sum is σ = 2975616. Its totient is φ = 314240.

The previous prime is 1038047. The next prime is 1038073. The reversal of 1038048 is 8408301.

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

It is a super-3 number, since 3×1038048³ = 3355626093332299776, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038041) 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, 565 + ... + 1547.

It is an arithmetic number, because the mean of its divisors is an integer number (61992).

2^1038048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487808).

1038048 is an abundant number, since it is smaller than the sum of its proper divisors (1937568).

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

1038048 is a wasteful number, since it uses less digits than its factorization.

1038048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1038048 is about 1018.8464064814. The cubic root of 1038048 is about 101.2525132740.

The spelling of 1038048 in words is "one million, thirty-eight thousand, forty-eight".