653520 has 80 divisors (see below), whose sum is σ = 2321280. Its totient is φ = 148992.

The previous prime is 653519. The next prime is 653537. The reversal of 653520 is 25356.

653520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1486 + ... + 1874.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁶⁵³⁵²⁰ is an apocalyptic number.

653520 is a gapful number since it is divisible by the number (60) 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 653520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160640).

653520 is an abundant number, since it is smaller than the sum of its proper divisors (1667760).

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

653520 is a wasteful number, since it uses less digits than its factorization.

653520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 653520 is about 808.4058386726. The cubic root of 653520 is about 86.7799963814.

Adding to 653520 its reverse (25356), we get a palindrome (678876).

It can be divided in two parts, 6535 and 20, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 653520 in words is "six hundred fifty-three thousand, five hundred twenty".