532120320 has 288 divisors, whose sum is σ = 1920542400. Its totient is φ = 139493376.

The previous prime is 532120261. The next prime is 532120339. The reversal of 532120320 is 23021235.

532120320 is a `hidden beast` number, since 5 + 321 + 20 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 532120293 and 532120302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3075754 + ... + 3075926.

It is an arithmetic number, because the mean of its divisors is an integer number (6668550).

Almost surely, 2^532120320 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 532120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960271200).

532120320 is an abundant number, since it is smaller than the sum of its proper divisors (1388422080).

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

532120320 is a wasteful number, since it uses less digits than its factorization.

532120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 532120320 is about 23067.7333086717. The cubic root of 532120320 is about 810.3449833644.

Adding to 532120320 its reverse (23021235), we get a palindrome (555141555).

The spelling of 532120320 in words is "five hundred thirty-two million, one hundred twenty thousand, three hundred twenty".