653424 has 20 divisors (see below), whose sum is σ = 1688136. Its totient is φ = 217792.

The previous prime is 653363. The next prime is 653431. The reversal of 653424 is 424356.

653424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 6⁶ + 5⁷ + 4² + 3⁵ + 2¹⁹ + 4⁶ .

It is a junction number, because it is equal to n+sod(n) for n = 653394 and 653403.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653424.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6759 + ... + 6854.

2⁶⁵³⁴²⁴ is an apocalyptic number.

It is an amenable number.

653424 is an abundant number, since it is smaller than the sum of its proper divisors (1034712).

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

653424 is a wasteful number, since it uses less digits than its factorization.

653424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13624 (or 13618 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 653424 is about 808.3464603745. The cubic root of 653424 is about 86.7757469386.

It can be divided in two parts, 6534 and 24, that multiplied together give a square (156816 = 396²).

The spelling of 653424 in words is "six hundred fifty-three thousand, four hundred twenty-four".