653884 has 36 divisors (see below), whose sum is σ = 1444912. Its totient is φ = 253440.

The previous prime is 653881. The next prime is 653893. The reversal of 653884 is 488356.

It is a super-3 number, since 3×653884³ = 838732335693333312, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653881) 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, 3292 + ... + 3484.

2⁶⁵³⁸⁸⁴ 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 653884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722456).

653884 is an abundant number, since it is smaller than the sum of its proper divisors (791028).

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

653884 is a wasteful number, since it uses less digits than its factorization.

653884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 653884 is about 808.6309417775. The cubic root of 653884 is about 86.7961050727.

The spelling of 653884 in words is "six hundred fifty-three thousand, eight hundred eighty-four".