261067968 has 224 divisors, whose sum is σ = 889528320. Its totient is φ = 73543680.

The previous prime is 261067949. The next prime is 261067969. The reversal of 261067968 is 869760162.

261067968 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 (224).

It is not an unprimeable number, because it can be changed into a prime (261067969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1366753 + ... + 1366943.

Almost surely, 2^261067968 is an apocalyptic number.

261067968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444764160).

261067968 is an abundant number, since it is smaller than the sum of its proper divisors (628460352).

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

261067968 is a wasteful number, since it uses less digits than its factorization.

261067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 261067968 is about 16157.5978412634. The cubic root of 261067968 is about 639.1231220357.

The spelling of 261067968 in words is "two hundred sixty-one million, sixty-seven thousand, nine hundred sixty-eight".