653632320 has 336 divisors, whose sum is σ = 2422574784. Its totient is φ = 148684800.

The previous prime is 653632289. The next prime is 653632321. The reversal of 653632320 is 23236356.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653632321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974555 + ... + 1974885.

It is an arithmetic number, because the mean of its divisors is an integer number (7210044).

Almost surely, 2^653632320 is an apocalyptic number.

653632320 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 653632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211287392).

653632320 is an abundant number, since it is smaller than the sum of its proper divisors (1768942464).

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

653632320 is a wasteful number, since it uses less digits than its factorization.

653632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

The square root of 653632320 is about 25566.2339815625. The cubic root of 653632320 is about 867.8496770127.

Adding to 653632320 its reverse (23236356), we get a palindrome (676868676).

The spelling of 653632320 in words is "six hundred fifty-three million, six hundred thirty-two thousand, three hundred twenty".