261282648 has 64 divisors (see below), whose sum is σ = 715547520. Its totient is φ = 78848000.

The previous prime is 261282617. The next prime is 261282649. The reversal of 261282648 is 846282162.

261282648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261282649) 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, 65923 + ... + 69773.

It is an arithmetic number, because the mean of its divisors is an integer number (11180430).

Almost surely, 2^261282648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261282648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357773760).

261282648 is an abundant number, since it is smaller than the sum of its proper divisors (454264872).

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

261282648 is a wasteful number, since it uses less digits than its factorization.

261282648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4124 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 261282648 is about 16164.2397903520. The cubic root of 261282648 is about 639.2982607949.

The spelling of 261282648 in words is "two hundred sixty-one million, two hundred eighty-two thousand, six hundred forty-eight".