656017000 has 64 divisors (see below), whose sum is σ = 1549679040. Its totient is φ = 259912000.

The previous prime is 656016989. The next prime is 656017001. The reversal of 656017000 is 710656.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (656017001) 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, 103935 + ... + 110065.

It is an arithmetic number, because the mean of its divisors is an integer number (24213735).

Almost surely, 2^656017000 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 656017000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774839520).

656017000 is an abundant number, since it is smaller than the sum of its proper divisors (893662040).

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

656017000 is a wasteful number, since it uses less digits than its factorization.

656017000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 656017000 is about 25612.8288168254. The cubic root of 656017000 is about 868.9038027988.

Adding to 656017000 its reverse (710656), we get a palindrome (656727656).

The spelling of 656017000 in words is "six hundred fifty-six million, seventeen thousand".