261670752 has 288 divisors, whose sum is σ = 905748480. Its totient is φ = 70087680.

The previous prime is 261670729. The next prime is 261670753. The reversal of 261670752 is 257076162.

261670752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261670753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3312249 + ... + 3312327.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^261670752 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 261670752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

261670752 is an abundant number, since it is smaller than the sum of its proper divisors (644077728).

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

261670752 is a wasteful number, since it uses less digits than its factorization.

261670752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 261670752 is about 16176.2403542974. The cubic root of 261670752 is about 639.6146378007.

The spelling of 261670752 in words is "two hundred sixty-one million, six hundred seventy thousand, seven hundred fifty-two".