655557120 has 240 divisors, whose sum is σ = 2334772440. Its totient is φ = 169869312.

The previous prime is 655557113. The next prime is 655557127. The reversal of 655557120 is 21755556.

It is a happy number.

655557120 is a `hidden beast` number, since 65 + 5 + 5 + 571 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (655557113) and next prime (655557127).

It can be written as a sum of positive squares in 4 ways, for example, as 601622784 + 53934336 = 24528^2 + 7344^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (655557127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852096 + ... + 852864.

Almost surely, 2^655557120 is an apocalyptic number.

655557120 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 655557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167386220).

655557120 is an abundant number, since it is smaller than the sum of its proper divisors (1679215320).

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

655557120 is a wasteful number, since it uses less digits than its factorization.

655557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 655557120 is about 25603.8497105416. The cubic root of 655557120 is about 868.7007161456.

The spelling of 655557120 in words is "six hundred fifty-five million, five hundred fifty-seven thousand, one hundred twenty".