652821120 has 480 divisors, whose sum is σ = 2722521780. Its totient is φ = 148635648.

The previous prime is 652821109. The next prime is 652821139. The reversal of 652821120 is 21128256.

It is a happy number.

652821120 is a `hidden beast` number, since 652 + 8 + 2 + 1 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 609892416 + 42928704 = 24696^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2540032 + ... + 2540288.

Almost surely, 2^652821120 is an apocalyptic number.

652821120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361260890).

652821120 is an abundant number, since it is smaller than the sum of its proper divisors (2069700660).

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

652821120 is a wasteful number, since it uses less digits than its factorization.

652821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 652821120 is about 25550.3643809633. The cubic root of 652821120 is about 867.4905091881.

Adding to 652821120 its reverse (21128256), we get a palindrome (673949376).

The spelling of 652821120 in words is "six hundred fifty-two million, eight hundred twenty-one thousand, one hundred twenty".