653888 has 28 divisors (see below), whose sum is σ = 1376172. Its totient is φ = 307200.

The previous prime is 653881. The next prime is 653893. The reversal of 653888 is 888356.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 529984 + 123904 = 728^2 + 352^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653888.

It is not an unprimeable number, because it can be changed into a prime (653881) by changing a digit.

653888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 788 + ... + 1388.

It is an arithmetic number, because the mean of its divisors is an integer number (49149).

2⁶⁵³⁸⁸⁸ is an apocalyptic number.

653888 is a gapful number since it is divisible by the number (68) 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 653888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688086).

653888 is an abundant number, since it is smaller than the sum of its proper divisors (722284).

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

653888 is a wasteful number, since it uses less digits than its factorization.

653888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 620 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 653888 is about 808.6334150899. The cubic root of 653888 is about 86.7962820581.

The spelling of 653888 in words is "six hundred fifty-three thousand, eight hundred eighty-eight".