656487000 has 384 divisors, whose sum is σ = 2480325120. Its totient is φ = 155520000.

The previous prime is 656486989. The next prime is 656487001. The reversal of 656487000 is 784656.

It is a happy number.

656487000 is a `hidden beast` number, since 6 + 5 + 648 + 7 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (656487001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3626910 + ... + 3627090.

It is an arithmetic number, because the mean of its divisors is an integer number (6459180).

Almost surely, 2^656487000 is an apocalyptic number.

656487000 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 656487000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240162560).

656487000 is an abundant number, since it is smaller than the sum of its proper divisors (1823838120).

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

656487000 is a wasteful number, since it uses less digits than its factorization.

656487000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 656487000 is about 25622.0022636796. The cubic root of 656487000 is about 869.1112604804. Note that the first 3 decimals are identical.

The spelling of 656487000 in words is "six hundred fifty-six million, four hundred eighty-seven thousand".