261067536 has 120 divisors (see below), whose sum is σ = 767763360. Its totient is φ = 85867776.

The previous prime is 261067451. The next prime is 261067537. The reversal of 261067536 is 635760162.

261067536 is a `hidden beast` number, since 2 + 61 + 0 + 67 + 536 = 666.

261067536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×261067536² = 136312516706222592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 261067536.

It is not an unprimeable number, because it can be changed into a prime (261067537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322300 + ... + 323108.

It is an arithmetic number, because the mean of its divisors is an integer number (6398028).

Almost surely, 2^261067536 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 261067536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383881680).

261067536 is an abundant number, since it is smaller than the sum of its proper divisors (506695824).

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

261067536 is an equidigital number, since it uses as much as digits as its factorization.

261067536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 261067536 is about 16157.5844729341. The cubic root of 261067536 is about 639.1227695077.

The spelling of 261067536 in words is "two hundred sixty-one million, sixty-seven thousand, five hundred thirty-six".