6978048 has 160 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 1781760.

The previous prime is 6978047. The next prime is 6978061. The reversal of 6978048 is 8408796.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6978047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118243 + ... + 118301.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

Almost surely, 2^6978048 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 6978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960).

6978048 is an abundant number, since it is smaller than the sum of its proper divisors (16591872).

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

6978048 is a wasteful number, since it uses less digits than its factorization.

6978048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 6978048 is about 2641.5995154451. The cubic root of 6978048 is about 191.0929438092.

The spelling of 6978048 in words is "six million, nine hundred seventy-eight thousand, forty-eight".