6022400 has 54 divisors (see below), whose sum is σ = 14922222. Its totient is φ = 2406400.

The previous prime is 6022399. The next prime is 6022409. The reversal of 6022400 is 42206.

It can be written as a sum of positive squares in 3 ways, for example, as 565504 + 5456896 = 752^2 + 2336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6022409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5930 + ... + 6870.

Almost surely, 2^6022400 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 6022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461111).

6022400 is an abundant number, since it is smaller than the sum of its proper divisors (8899822).

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

6022400 is an equidigital number, since it uses as much as digits as its factorization.

6022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 6022400 is about 2454.0578640285. The cubic root of 6022400 is about 181.9379090212.

Adding to 6022400 its reverse (42206), we get a palindrome (6064606).

The spelling of 6022400 in words is "six million, twenty-two thousand, four hundred".