6957840 has 80 divisors (see below), whose sum is σ = 22016448. Its totient is φ = 1817088.

The previous prime is 6957829. The next prime is 6957851. The reversal of 6957840 is 487596.

It is an interprime number because it is at equal distance from previous prime (6957829) and next prime (6957851).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12447 + ... + 12993.

Almost surely, 2^6957840 is an apocalyptic number.

6957840 is a gapful number since it is divisible by the number (60) 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 6957840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11008224).

6957840 is an abundant number, since it is smaller than the sum of its proper divisors (15058608).

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

6957840 is a wasteful number, since it uses less digits than its factorization.

6957840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 6957840 is about 2637.7717869444. The cubic root of 6957840 is about 190.9083009656.

The spelling of 6957840 in words is "six million, nine hundred fifty-seven thousand, eight hundred forty".