655145568 has 288 divisors, whose sum is σ = 2400233472. Its totient is φ = 164505600.

The previous prime is 655145567. The next prime is 655145651. The reversal of 655145568 is 865541556.

655145568 is a `hidden beast` number, since 6 + 551 + 45 + 56 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655145563) by changing a digit.

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, 686980 + ... + 687932.

It is an arithmetic number, because the mean of its divisors is an integer number (8334144).

Almost surely, 2^655145568 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 655145568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200116736).

655145568 is an abundant number, since it is smaller than the sum of its proper divisors (1745087904).

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

655145568 is a wasteful number, since it uses less digits than its factorization.

655145568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1007 counting only the distinct ones).

The product of its digits is 720000, while the sum is 45.

The square root of 655145568 is about 25595.8115323582. The cubic root of 655145568 is about 868.5188909737.

The spelling of 655145568 in words is "six hundred fifty-five million, one hundred forty-five thousand, five hundred sixty-eight".