5416224 has 96 divisors (see below), whose sum is σ = 16257024. Its totient is φ = 1562880.

The previous prime is 5416211. The next prime is 5416231. The reversal of 5416224 is 4226145.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5416194 and 5416203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24177 + ... + 24399.

It is an arithmetic number, because the mean of its divisors is an integer number (169344).

Almost surely, 2^5416224 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 5416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128512).

5416224 is an abundant number, since it is smaller than the sum of its proper divisors (10840800).

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

5416224 is a wasteful number, since it uses less digits than its factorization.

5416224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 5416224 is about 2327.2782386298. The cubic root of 5416224 is about 175.6165896016.

It can be divided in two parts, 54 and 16224, that multiplied together give a square (876096 = 936²).

The spelling of 5416224 in words is "five million, four hundred sixteen thousand, two hundred twenty-four".