652288 has 66 divisors (see below), whose sum is σ = 1633506. Its totient is φ = 258048.

The previous prime is 652283. The next prime is 652291. The reversal of 652288 is 882256.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 200704 = 672^2 + 448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652283) by changing a digit.

652288 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50170 + ... + 50182.

652288 is a Friedman number, since it can be written as 52*(8*(8+6))^2, using all its digits and the basic arithmetic operations.

2⁶⁵²²⁸⁸ 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 652288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816753).

652288 is an abundant number, since it is smaller than the sum of its proper divisors (981218).

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

652288 is a wasteful number, since it uses less digits than its factorization.

652288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 22 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 652288 is about 807.6434857039. The cubic root of 652288 is about 86.7254302323.

The spelling of 652288 in words is "six hundred fifty-two thousand, two hundred eighty-eight".