261632 has 40 divisors (see below), whose sum is σ = 605616. Its totient is φ = 110592.

The previous prime is 261631. The next prime is 261637. The reversal of 261632 is 236162.

Adding to 261632 its reverse (236162), we get a palindrome (497794).

It can be divided in two parts, 26163 and 2, that multiplied together give a triangular number (52326 = T_{323}).

261632 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 2, base 4 and base 8.

It is a zygodrome in base 2 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3548 + ... + 3620.

2^{261632} is an apocalyptic number.

It is a pronic number, being equal to 511×512.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302808).

261632 is an abundant number, since it is smaller than the sum of its proper divisors (343984).

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

261632 is an frugal number, since it uses more digits than its factorization.

261632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 261632 is about 511.4997556207. The cubic root of 261632 is about 63.9583061771.

The spelling of 261632 in words is "two hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 448 511 512 584 896 1022 1168 1792 2044 2336 3584 4088 4672 8176 9344 16352 18688 32704 37376 65408 130816 261632

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