261068448 has 96 divisors (see below), whose sum is σ = 714982464. Its totient is φ = 83331072.

The previous prime is 261068447. The next prime is 261068477. The reversal of 261068448 is 844860162.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×261068448² = 136313469082257408, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261068441) 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, 237436 + ... + 238532.

It is an arithmetic number, because the mean of its divisors is an integer number (7447734).

Almost surely, 2^261068448 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 261068448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357491232).

261068448 is an abundant number, since it is smaller than the sum of its proper divisors (453914016).

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

261068448 is a wasteful number, since it uses less digits than its factorization.

261068448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1206 counting only the distinct ones).

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

The square root of 261068448 is about 16157.6126949497. The cubic root of 261068448 is about 639.1235137331.

The spelling of 261068448 in words is "two hundred sixty-one million, sixty-eight thousand, four hundred forty-eight".