5405624 has 32 divisors (see below), whose sum is σ = 11733120. Its totient is φ = 2286816.

The previous prime is 5405599. The next prime is 5405641. The reversal of 5405624 is 4265045.

5405624 = T₁₆₅ + T₁₆₆ + ... + T₃₃₂.

It is a Cunningham number, because it is equal to 2325²-1.

It is a junction number, because it is equal to n+sod(n) for n = 5405593 and 5405602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4067 + ... + 5229.

It is an arithmetic number, because the mean of its divisors is an integer number (366660).

Almost surely, 2^5405624 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 5405624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866560).

5405624 is an abundant number, since it is smaller than the sum of its proper divisors (6327496).

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

5405624 is a wasteful number, since it uses less digits than its factorization.

5405624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 5405624 is about 2324.9997849462. Note that the first 3 decimals coincide. The cubic root of 5405624 is about 175.5019493673.

The spelling of 5405624 in words is "five million, four hundred five thousand, six hundred twenty-four".