261656000 has 56 divisors (see below), whose sum is σ = 648010896. Its totient is φ = 104659200.

The previous prime is 261655987. The next prime is 261656039. The reversal of 261656000 is 656162.

261656000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 8354 + ... + 24353.

Almost surely, 2^261656000 is an apocalyptic number.

261656000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261656000 is an abundant number, since it is smaller than the sum of its proper divisors (386354896).

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

261656000 is an equidigital number, since it uses as much as digits as its factorization.

261656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32734 (or 32714 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 261656000 is about 16175.7843704718. The cubic root of 261656000 is about 639.6026178961.

The spelling of 261656000 in words is "two hundred sixty-one million, six hundred fifty-six thousand".