656166000 has 320 divisors, whose sum is σ = 2562693120. Its totient is φ = 141004800.

The previous prime is 656165989. The next prime is 656166019. The reversal of 656166000 is 661656.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713541 + ... + 714459.

It is an arithmetic number, because the mean of its divisors is an integer number (8008416).

Almost surely, 2^656166000 is an apocalyptic number.

656166000 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 656166000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281346560).

656166000 is an abundant number, since it is smaller than the sum of its proper divisors (1906527120).

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

656166000 is a wasteful number, since it uses less digits than its factorization.

656166000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 656166000 is about 25615.7373503087. The cubic root of 656166000 is about 868.9695820220.

The spelling of 656166000 in words is "six hundred fifty-six million, one hundred sixty-six thousand".