5624800 has 72 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 2196480.

The previous prime is 5624797. The next prime is 5624803. The reversal of 5624800 is 84265.

5624800 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (5624797) and next prime (5624803).

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 (5624803) 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, 63156 + ... + 63244.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 2^5624800 is an apocalyptic number.

5624800 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 5624800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

5624800 is an abundant number, since it is smaller than the sum of its proper divisors (8436800).

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

5624800 is a wasteful number, since it uses less digits than its factorization.

5624800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 5624800 is about 2371.6660810494. Note that the first 3 decimals coincide. The cubic root of 5624800 is about 177.8425574109.

The spelling of 5624800 in words is "five million, six hundred twenty-four thousand, eight hundred".