653904 has 60 divisors (see below), whose sum is σ = 1934400. Its totient is φ = 205632.

The previous prime is 653903. The next prime is 653927. The reversal of 653904 is 409356.

653904 = 17³ + 18³ + ... + 40³.

It is a happy number.

653904 is a `hidden beast` number, since 653 + 9 + 0 + 4 = 666.

653904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 653904.

It is not an unprimeable number, because it can be changed into a prime (653903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2617 + ... + 2855.

It is an arithmetic number, because the mean of its divisors is an integer number (32240).

2⁶⁵³⁹⁰⁴ 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 653904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967200).

653904 is an abundant number, since it is smaller than the sum of its proper divisors (1280496).

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

653904 is a wasteful number, since it uses less digits than its factorization.

653904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 653904 is about 808.6433082639. The cubic root of 653904 is about 86.7969899924.

It can be divided in two parts, 65 and 3904, that added together give a square (3969 = 63²).

The spelling of 653904 in words is "six hundred fifty-three thousand, nine hundred four".