656128000 has 192 divisors, whose sum is σ = 1793806560. Its totient is φ = 237568000.

The previous prime is 656127917. The next prime is 656128001. The reversal of 656128000 is 821656.

It is a self number, because there is not a number n which added to its sum of digits gives 656128000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656128001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2815884 + ... + 2816116.

Almost surely, 2^656128000 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 656128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896903280).

656128000 is an abundant number, since it is smaller than the sum of its proper divisors (1137678560).

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

656128000 is a wasteful number, since it uses less digits than its factorization.

656128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 656128000 is about 25614.9956080418. The cubic root of 656128000 is about 868.9528070587.

Adding to 656128000 its reverse (821656), we get a palindrome (656949656).

The spelling of 656128000 in words is "six hundred fifty-six million, one hundred twenty-eight thousand".