653952 has 64 divisors (see below), whose sum is σ = 1884960. Its totient is φ = 199680.

The previous prime is 653951. The next prime is 653963. The reversal of 653952 is 259356.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653952.

It is not an unprimeable number, because it can be changed into a prime (653951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4927 + ... + 5057.

2⁶⁵³⁹⁵² 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 653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942480).

653952 is an abundant number, since it is smaller than the sum of its proper divisors (1231008).

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

653952 is a wasteful number, since it uses less digits than its factorization.

653952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 653952 is about 808.6729870597. The cubic root of 653952 is about 86.7991137259.

The spelling of 653952 in words is "six hundred fifty-three thousand, nine hundred fifty-two".