6945600 has 84 divisors (see below), whose sum is σ = 22803104. Its totient is φ = 1850880.

The previous prime is 6945577. The next prime is 6945607. The reversal of 6945600 is 65496.

6945600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6945607) 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, 4077 + ... + 5523.

Almost surely, 2^6945600 is an apocalyptic number.

6945600 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 6945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11401552).

6945600 is an abundant number, since it is smaller than the sum of its proper divisors (15857504).

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

6945600 is a wasteful number, since it uses less digits than its factorization.

6945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6945600 is about 2635.4506256047. The cubic root of 6945600 is about 190.7962887525.

The spelling of 6945600 in words is "six million, nine hundred forty-five thousand, six hundred".