653420 has 24 divisors (see below), whose sum is σ = 1410864. Its totient is φ = 254016.

The previous prime is 653363. The next prime is 653431. The reversal of 653420 is 24356.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 653392 and 653401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299 + ... + 1181.

It is an arithmetic number, because the mean of its divisors is an integer number (58786).

2⁶⁵³⁴²⁰ 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 653420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705432).

653420 is an abundant number, since it is smaller than the sum of its proper divisors (757444).

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

653420 is a wasteful number, since it uses less digits than its factorization.

653420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 653420 is about 808.3439861841. The cubic root of 653420 is about 86.7755698695.

Adding to 653420 its reverse (24356), we get a palindrome (677776).

The spelling of 653420 in words is "six hundred fifty-three thousand, four hundred twenty".