655593120 has 288 divisors, whose sum is σ = 2754041472. Its totient is φ = 138295296.

The previous prime is 655593109. The next prime is 655593131. The reversal of 655593120 is 21395556.

655593120 is a `hidden beast` number, since 6 + 55 + 593 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (655593109) and next prime (655593131).

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128539 + ... + 133541.

It is an arithmetic number, because the mean of its divisors is an integer number (9562644).

Almost surely, 2^655593120 is an apocalyptic number.

655593120 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 655593120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377020736).

655593120 is an abundant number, since it is smaller than the sum of its proper divisors (2098448352).

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

655593120 is a wasteful number, since it uses less digits than its factorization.

655593120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 655593120 is about 25604.5527201707. The cubic root of 655593120 is about 868.7166174568.

The spelling of 655593120 in words is "six hundred fifty-five million, five hundred ninety-three thousand, one hundred twenty".