652208256 has 192 divisors, whose sum is σ = 2214950400. Its totient is φ = 180264960.

The previous prime is 652208251. The next prime is 652208261. The reversal of 652208256 is 652802256.

652208256 is a `hidden beast` number, since 6 + 522 + 0 + 82 + 56 = 666.

652208256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (652208251) and next prime (652208261).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 652208256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652208251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248680 + ... + 251288.

It is an arithmetic number, because the mean of its divisors is an integer number (11536200).

Almost surely, 2^652208256 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 652208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107475200).

652208256 is an abundant number, since it is smaller than the sum of its proper divisors (1562742144).

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

652208256 is a wasteful number, since it uses less digits than its factorization.

652208256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 652208256 is about 25538.3683112293. The cubic root of 652208256 is about 867.2189594762.

The spelling of 652208256 in words is "six hundred fifty-two million, two hundred eight thousand, two hundred fifty-six".