6900768 has 144 divisors (see below), whose sum is σ = 23556960. Its totient is φ = 1959552.

The previous prime is 6900767. The next prime is 6900787. The reversal of 6900768 is 8670096.

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 not an unprimeable number, because it can be changed into a prime (6900767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42255 + ... + 42417.

It is an arithmetic number, because the mean of its divisors is an integer number (163590).

Almost surely, 2^6900768 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 6900768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11778480).

6900768 is an abundant number, since it is smaller than the sum of its proper divisors (16656192).

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

6900768 is a wasteful number, since it uses less digits than its factorization.

6900768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6900768 is about 2626.9312895468. The cubic root of 6900768 is about 190.3848892275.

The spelling of 6900768 in words is "six million, nine hundred thousand, seven hundred sixty-eight".