6900096 has 128 divisors (see below), whose sum is σ = 22325760. Its totient is φ = 1843200.

The previous prime is 6900083. The next prime is 6900121.

6900096 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6900096² = 95222649618432, which contains 22 as substring.

It is a nialpdrome in base 14.

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, 45621 + ... + 45771.

It is an arithmetic number, because the mean of its divisors is an integer number (174420).

Almost surely, 2^6900096 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 6900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11162880).

6900096 is an abundant number, since it is smaller than the sum of its proper divisors (15425664).

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

6900096 is a wasteful number, since it uses less digits than its factorization.

6900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 6900096 is about 2626.8033805369. The cubic root of 6900096 is about 190.3787091039.

It can be divided in two parts, 69000 and 96, that added together give a palindrome (69096).

The spelling of 6900096 in words is "six million, nine hundred thousand, ninety-six".