652065408 has 192 divisors, whose sum is σ = 2040979200. Its totient is φ = 199272960.

The previous prime is 652065391. The next prime is 652065409. The reversal of 652065408 is 804560256.

652065408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (652065409) 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, 21034353 + ... + 21034383.

It is an arithmetic number, because the mean of its divisors is an integer number (10630100).

Almost surely, 2^652065408 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 652065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020489600).

652065408 is an abundant number, since it is smaller than the sum of its proper divisors (1388913792).

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

652065408 is an equidigital number, since it uses as much as digits as its factorization.

652065408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 55 counting only the distinct ones).

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

The square root of 652065408 is about 25535.5714249750. The cubic root of 652065408 is about 867.1556414904.

The spelling of 652065408 in words is "six hundred fifty-two million, sixty-five thousand, four hundred eight".