652960 has 96 divisors (see below), whose sum is σ = 1959552. Its totient is φ = 199680.

The previous prime is 652957. The next prime is 652969. The reversal of 652960 is 69256.

652960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (652969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12294 + ... + 12346.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2⁶⁵²⁹⁶⁰ 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 652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979776).

652960 is an abundant number, since it is smaller than the sum of its proper divisors (1306592).

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

652960 is a wasteful number, since it uses less digits than its factorization.

652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 652960 is about 808.0594037569. The cubic root of 652960 is about 86.7552020954.

It can be divided in two parts, 65 and 2960, that added together give a square (3025 = 55²).

The spelling of 652960 in words is "six hundred fifty-two thousand, nine hundred sixty".