655967520 has 288 divisors, whose sum is σ = 2451339072. Its totient is φ = 158754816.

The previous prime is 655967519. The next prime is 655967539. The reversal of 655967520 is 25769556.

655967520 is a `hidden beast` number, since 6 + 5 + 596 + 7 + 52 + 0 = 666.

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 (45).

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 47 ways as a sum of consecutive naturals, for example, 1253979 + ... + 1254501.

It is an arithmetic number, because the mean of its divisors is an integer number (8511594).

Almost surely, 2^655967520 is an apocalyptic number.

655967520 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 655967520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225669536).

655967520 is an abundant number, since it is smaller than the sum of its proper divisors (1795371552).

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

655967520 is a wasteful number, since it uses less digits than its factorization.

655967520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 655967520 is about 25611.8628764094. The cubic root of 655967520 is about 868.8819565960.

The spelling of 655967520 in words is "six hundred fifty-five million, nine hundred sixty-seven thousand, five hundred twenty".