261696000 has 320 divisors, whose sum is σ = 919226880. Its totient is φ = 65945600.

The previous prime is 261695983. The next prime is 261696007. The reversal of 261696000 is 696162.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261696007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5567977 + ... + 5568023.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^261696000 is an apocalyptic number.

261696000 is a gapful number since it is divisible by the number (20) 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 261696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

261696000 is an abundant number, since it is smaller than the sum of its proper divisors (657530880).

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

261696000 is an equidigital number, since it uses as much as digits as its factorization.

261696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 261696000 is about 16177.0207393080. The cubic root of 261696000 is about 639.6352087802.

The spelling of 261696000 in words is "two hundred sixty-one million, six hundred ninety-six thousand".