653856 has 72 divisors (see below), whose sum is σ = 2010960. Its totient is φ = 185472.

The previous prime is 653831. The next prime is 653879. The reversal of 653856 is 658356.

653856 = T₆₃ + T₆₄ + ... + T₁₆₀.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4635 + ... + 4773.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2⁶⁵³⁸⁵⁶ 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 653856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480).

653856 is an abundant number, since it is smaller than the sum of its proper divisors (1357104).

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

653856 is a wasteful number, since it uses less digits than its factorization.

653856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 653856 is about 808.6136283788. The cubic root of 653856 is about 86.7948661549.

The spelling of 653856 in words is "six hundred fifty-three thousand, eight hundred fifty-six".