653688 has 48 divisors (see below), whose sum is σ = 2024880. Its totient is φ = 186624.

The previous prime is 653687. The next prime is 653693. The reversal of 653688 is 886356.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653687) 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, 145 + ... + 1152.

It is an arithmetic number, because the mean of its divisors is an integer number (42185).

2⁶⁵³⁶⁸⁸ 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 653688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012440).

653688 is an abundant number, since it is smaller than the sum of its proper divisors (1371192).

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

653688 is a wasteful number, since it uses less digits than its factorization.

653688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1309 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 653688 is about 808.5097402011. The cubic root of 653688 is about 86.7874319051.

The spelling of 653688 in words is "six hundred fifty-three thousand, six hundred eighty-eight".