6960096 has 144 divisors (see below), whose sum is σ = 23390640. Its totient is φ = 1946880.

The previous prime is 6960091. The next prime is 6960103. The reversal of 6960096 is 6900696.

6960096 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6960096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6960091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535386 + ... + 535398.

It is an arithmetic number, because the mean of its divisors is an integer number (162435).

Almost surely, 2^6960096 is an apocalyptic number.

6960096 is a gapful number since it is divisible by the number (66) 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 6960096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320).

6960096 is an abundant number, since it is smaller than the sum of its proper divisors (16430544).

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

6960096 is a wasteful number, since it uses less digits than its factorization.

6960096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 6960096 is about 2638.1993859449. The cubic root of 6960096 is about 190.9289320133.

It can be divided in two parts, 69600 and 96, that added together give a palindrome (69696).

The spelling of 6960096 in words is "six million, nine hundred sixty thousand, ninety-six".