6926144 has 28 divisors (see below), whose sum is σ = 14191488. Its totient is φ = 3350400.

The previous prime is 6926137. The next prime is 6926149. The reversal of 6926144 is 4416296.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 6926144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6926149) 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 3 ways as a sum of consecutive naturals, for example, 239 + ... + 3729.

Almost surely, 2^6926144 is an apocalyptic number.

6926144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095744).

6926144 is an abundant number, since it is smaller than the sum of its proper divisors (7265344).

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

6926144 is a wasteful number, since it uses less digits than its factorization.

6926144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3524 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 6926144 is about 2631.7568276723. The cubic root of 6926144 is about 190.6179694263.

The spelling of 6926144 in words is "six million, nine hundred twenty-six thousand, one hundred forty-four".