615424 has 22 divisors (see below), whose sum is σ = 1232294. Its totient is φ = 307200.

The previous prime is 615413. The next prime is 615427. The reversal of 615424 is 424516.

It can be written as a sum of positive squares in only one way, i.e., 589824 + 25600 = 768^2 + 160^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 615395 and 615404.

It is not an unprimeable number, because it can be changed into a prime (615427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 724 + ... + 1324.

2⁶¹⁵⁴²⁴ is an apocalyptic number.

615424 is a gapful number since it is divisible by the number (64) 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 615424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616147).

615424 is an abundant number, since it is smaller than the sum of its proper divisors (616870).

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

615424 is an equidigital number, since it uses as much as digits as its factorization.

615424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 603 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 615424 is about 784.4896430164. The cubic root of 615424 is about 85.0598885901.

It can be divided in two parts, 6154 and 24, that multiplied together give a triangular number (147696 = T₅₄₃).

The spelling of 615424 in words is "six hundred fifteen thousand, four hundred twenty-four".