653434320 has 320 divisors, whose sum is σ = 2659829760. Its totient is φ = 128563200.

The previous prime is 653434289. The next prime is 653434333. The reversal of 653434320 is 23434356.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350190 + ... + 352050.

It is an arithmetic number, because the mean of its divisors is an integer number (8311968).

Almost surely, 2^653434320 is an apocalyptic number.

653434320 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 653434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329914880).

653434320 is an abundant number, since it is smaller than the sum of its proper divisors (2006395440).

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

653434320 is a wasteful number, since it uses less digits than its factorization.

653434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 653434320 is about 25562.3613932673. The cubic root of 653434320 is about 867.7620377367.

Adding to 653434320 its reverse (23434356), we get a palindrome (676868676).

The spelling of 653434320 in words is "six hundred fifty-three million, four hundred thirty-four thousand, three hundred twenty".