5418624 has 64 divisors (see below), whose sum is σ = 14639040. Its totient is φ = 1775616.

The previous prime is 5418617. The next prime is 5418643. The reversal of 5418624 is 4268145.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5418624² = 58722972106752, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5418591 and 5418600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39484 + ... + 39620.

It is an arithmetic number, because the mean of its divisors is an integer number (228735).

Almost surely, 2^5418624 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 5418624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319520).

5418624 is an abundant number, since it is smaller than the sum of its proper divisors (9220416).

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

5418624 is a wasteful number, since it uses less digits than its factorization.

5418624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 5418624 is about 2327.7938053015. The cubic root of 5418624 is about 175.6425251104.

The spelling of 5418624 in words is "five million, four hundred eighteen thousand, six hundred twenty-four".