655017120 has 144 divisors (see below), whose sum is σ = 2247565320. Its totient is φ = 173709312.

The previous prime is 655017091. The next prime is 655017137. The reversal of 655017120 is 21710556.

655017120 is a `hidden beast` number, since 655 + 0 + 1 + 7 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 653927184 + 1089936 = 25572^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 282526 + ... + 284834.

Almost surely, 2^655017120 is an apocalyptic number.

655017120 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 655017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123782660).

655017120 is an abundant number, since it is smaller than the sum of its proper divisors (1592548200).

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

655017120 is a wasteful number, since it uses less digits than its factorization.

655017120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2516 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 655017120 is about 25593.3022488306. The cubic root of 655017120 is about 868.4621265885.

Adding to 655017120 its reverse (21710556), we get a palindrome (676727676).

The spelling of 655017120 in words is "six hundred fifty-five million, seventeen thousand, one hundred twenty".