6894720 has 320 divisors, whose sum is σ = 29620800. Its totient is φ = 1492992.

The previous prime is 6894697. The next prime is 6894731. The reversal of 6894720 is 274986.

6894720 = 221² + 222² + ... + 315².

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362871 + ... + 362889.

It is an arithmetic number, because the mean of its divisors is an integer number (92565).

Almost surely, 2^6894720 is an apocalyptic number.

6894720 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 6894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810400).

6894720 is an abundant number, since it is smaller than the sum of its proper divisors (22726080).

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

6894720 is a wasteful number, since it uses less digits than its factorization.

6894720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6894720 is about 2625.7798841487. The cubic root of 6894720 is about 190.3292536635.

The spelling of 6894720 in words is "six million, eight hundred ninety-four thousand, seven hundred twenty".