6956064 has 96 divisors (see below), whose sum is σ = 20744640. Its totient is φ = 2267136.

The previous prime is 6956063. The next prime is 6956093. The reversal of 6956064 is 4606596.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (6956063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71664 + ... + 71760.

It is an arithmetic number, because the mean of its divisors is an integer number (216090).

Almost surely, 2^6956064 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 6956064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10372320).

6956064 is an abundant number, since it is smaller than the sum of its proper divisors (13788576).

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

6956064 is a wasteful number, since it uses less digits than its factorization.

6956064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

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

The square root of 6956064 is about 2637.4351176854. The cubic root of 6956064 is about 190.8920563650.

It can be divided in two parts, 695606 and 4, that added together give a triangular number (695610 = T₁₁₇₉).

The spelling of 6956064 in words is "six million, nine hundred fifty-six thousand, sixty-four".