6930144 has 96 divisors (see below), whose sum is σ = 21803040. Its totient is φ = 2128896.

The previous prime is 6930127. The next prime is 6930151. The reversal of 6930144 is 4410396.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10924 + ... + 11540.

It is an arithmetic number, because the mean of its divisors is an integer number (227115).

Almost surely, 2^6930144 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 6930144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10901520).

6930144 is an abundant number, since it is smaller than the sum of its proper divisors (14872896).

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

6930144 is a wasteful number, since it uses less digits than its factorization.

6930144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6930144 is about 2632.5166666139. The cubic root of 6930144 is about 190.6546577165.

The spelling of 6930144 in words is "six million, nine hundred thirty thousand, one hundred forty-four".