655540128 has 384 divisors, whose sum is σ = 2231712000. Its totient is φ = 188116992.

The previous prime is 655540121. The next prime is 655540139. The reversal of 655540128 is 821045556.

655540128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 655540092 and 655540101.

It is not an unprimeable number, because it can be changed into a prime (655540121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22604818 + ... + 22604846.

It is an arithmetic number, because the mean of its divisors is an integer number (5811750).

Almost surely, 2^655540128 is an apocalyptic number.

655540128 is a gapful number since it is divisible by the number (68) 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 655540128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115856000).

655540128 is an abundant number, since it is smaller than the sum of its proper divisors (1576171872).

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

655540128 is a wasteful number, since it uses less digits than its factorization.

655540128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 655540128 is about 25603.5178832910. The cubic root of 655540128 is about 868.6932105245.

The spelling of 655540128 in words is "six hundred fifty-five million, five hundred forty thousand, one hundred twenty-eight".