7038048 has 48 divisors (see below), whose sum is σ = 18627840. Its totient is φ = 2326656.

The previous prime is 7038047. The next prime is 7038049. The reversal of 7038048 is 8408307.

It is an interprime number because it is at equal distance from previous prime (7038047) and next prime (7038049).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7038043) 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, 15813 + ... + 16251.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 2^7038048 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 7038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9313920).

7038048 is an abundant number, since it is smaller than the sum of its proper divisors (11589792).

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

7038048 is a wasteful number, since it uses less digits than its factorization.

7038048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7038048 is about 2652.9319629421. The cubic root of 7038048 is about 191.6390789111.

The spelling of 7038048 in words is "seven million, thirty-eight thousand, forty-eight".