652216320 has 384 divisors, whose sum is σ = 2657491200. Its totient is φ = 148635648.

The previous prime is 652216319. The next prime is 652216343. The reversal of 652216320 is 23612256.

652216320 is a `hidden beast` number, since 6 + 5 + 2 + 21 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×652216320² = 850772256148684800, which contains 22 as substring.

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 (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935192 + ... + 1935528.

It is an arithmetic number, because the mean of its divisors is an integer number (6920550).

Almost surely, 2^652216320 is an apocalyptic number.

652216320 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 652216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328745600).

652216320 is an abundant number, since it is smaller than the sum of its proper divisors (2005274880).

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

652216320 is a wasteful number, since it uses less digits than its factorization.

652216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 652216320 is about 25538.5261908357. The cubic root of 652216320 is about 867.2225336029. Note that the first 3 decimals are identical.

Adding to 652216320 its reverse (23612256), we get a palindrome (675828576).

The spelling of 652216320 in words is "six hundred fifty-two million, two hundred sixteen thousand, three hundred twenty".