6956640 has 72 divisors (see below), whose sum is σ = 23744448. Its totient is φ = 1854720.

The previous prime is 6956639. The next prime is 6956647. The reversal of 6956640 is 466596.

It is a happy number.

6956640 is a `hidden beast` number, since 6 + 9 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6956595 and 6956604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6956647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976 + ... + 3855.

It is an arithmetic number, because the mean of its divisors is an integer number (329784).

Almost surely, 2^6956640 is an apocalyptic number.

6956640 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 6956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11872224).

6956640 is an abundant number, since it is smaller than the sum of its proper divisors (16787808).

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

6956640 is a wasteful number, since it uses less digits than its factorization.

6956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6956640 is about 2637.5443124240. The cubic root of 6956640 is about 190.8973251871.

The spelling of 6956640 in words is "six million, nine hundred fifty-six thousand, six hundred forty".