5162624 has 32 divisors (see below), whose sum is σ = 10492740. Its totient is φ = 2529280.

The previous prime is 5162617. The next prime is 5162627. The reversal of 5162624 is 4262615.

It can be written as a sum of positive squares in 2 ways, for example, as 4840000 + 322624 = 2200^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 5162593 and 5162602.

It is not an unprimeable number, because it can be changed into a prime (5162627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6404 + ... + 7164.

Almost surely, 2^5162624 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 5162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5246370).

5162624 is an abundant number, since it is smaller than the sum of its proper divisors (5330116).

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

5162624 is an equidigital number, since it uses as much as digits as its factorization.

5162624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 816 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 5162624 is about 2272.1408407051. The cubic root of 5162624 is about 172.8317385689.

Subtracting from 5162624 its reverse (4262615), we obtain a palindrome (900009).

The spelling of 5162624 in words is "five million, one hundred sixty-two thousand, six hundred twenty-four".