6924400 has 60 divisors (see below), whose sum is σ = 19020112. Its totient is φ = 2373120.

The previous prime is 6924349. The next prime is 6924409. The reversal of 6924400 is 44296.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6924409) 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, 1564 + ... + 4036.

Almost surely, 2^6924400 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 6924400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9510056).

6924400 is an abundant number, since it is smaller than the sum of its proper divisors (12095712).

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

6924400 is a wasteful number, since it uses less digits than its factorization.

6924400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 6924400 is about 2631.4254692087. The cubic root of 6924400 is about 190.6019689097.

Adding to 6924400 its reverse (44296), we get a palindrome (6968696).

The spelling of 6924400 in words is "six million, nine hundred twenty-four thousand, four hundred".