6957040 has 80 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 2509056.

The previous prime is 6957037. The next prime is 6957043. The reversal of 6957040 is 407596.

It is an interprime number because it is at equal distance from previous prime (6957037) and next prime (6957043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6956993 and 6957011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6957043) 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, 34861 + ... + 35059.

It is an arithmetic number, because the mean of its divisors is an integer number (223200).

Almost surely, 2^6957040 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 6957040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928000).

6957040 is an abundant number, since it is smaller than the sum of its proper divisors (10898960).

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

6957040 is a wasteful number, since it uses less digits than its factorization.

6957040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 6957040 is about 2637.6201394439. The cubic root of 6957040 is about 190.9009839202.

The spelling of 6957040 in words is "six million, nine hundred fifty-seven thousand, forty".