261712000 has 128 divisors (see below), whose sum is σ = 710311680. Its totient is φ = 95104000.

The previous prime is 261711977. The next prime is 261712001. The reversal of 261712000 is 217162.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (261712001) 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, 175257 + ... + 176743.

It is an arithmetic number, because the mean of its divisors is an integer number (5549310).

Almost surely, 2^261712000 is an apocalyptic number.

261712000 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 261712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355155840).

261712000 is an abundant number, since it is smaller than the sum of its proper divisors (448599680).

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

261712000 is a wasteful number, since it uses less digits than its factorization.

261712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 261712000 is about 16177.5152603853. The cubic root of 261712000 is about 639.6482442040.

Adding to 261712000 its reverse (217162), we get a palindrome (261929162).

The spelling of 261712000 in words is "two hundred sixty-one million, seven hundred twelve thousand".