6938000 has 40 divisors (see below), whose sum is σ = 16780920. Its totient is φ = 2774400.

The previous prime is 6937969. The next prime is 6938003. The reversal of 6938000 is 8396.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1721344 + 5216656 = 1312^2 + 2284^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (6938003) 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, 266 + ... + 3734.

It is an arithmetic number, because the mean of its divisors is an integer number (419523).

Almost surely, 2^6938000 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 6938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8390460).

6938000 is an abundant number, since it is smaller than the sum of its proper divisors (9842920).

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

6938000 is a wasteful number, since it uses less digits than its factorization.

6938000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 6938000 is about 2634.0083523026. The cubic root of 6938000 is about 190.7266724483.

The spelling of 6938000 in words is "six million, nine hundred thirty-eight thousand".