5619200 has 60 divisors (see below), whose sum is σ = 13953720. Its totient is φ = 2242560.

The previous prime is 5619181. The next prime is 5619203. The reversal of 5619200 is 29165.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5619203) 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, 12581 + ... + 13019.

It is an arithmetic number, because the mean of its divisors is an integer number (232562).

Almost surely, 2^5619200 is an apocalyptic number.

5619200 is a gapful number since it is divisible by the number (50) 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 5619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976860).

5619200 is an abundant number, since it is smaller than the sum of its proper divisors (8334520).

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

5619200 is an equidigital number, since it uses as much as digits as its factorization.

5619200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 5619200 is about 2370.4851824046. The cubic root of 5619200 is about 177.7835183332.

The spelling of 5619200 in words is "five million, six hundred nineteen thousand, two hundred".