261966528 has 224 divisors, whose sum is σ = 829056000. Its totient is φ = 80870400.

The previous prime is 261966511. The next prime is 261966533. The reversal of 261966528 is 825669162.

261966528 is a `hidden beast` number, since 2 + 61 + 9 + 66 + 528 = 666.

261966528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2593678 + ... + 2593778.

Almost surely, 2^261966528 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 261966528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414528000).

261966528 is an abundant number, since it is smaller than the sum of its proper divisors (567089472).

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

261966528 is a wasteful number, since it uses less digits than its factorization.

261966528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 261966528 is about 16185.3800696802. The cubic root of 261966528 is about 639.8555403119.

The spelling of 261966528 in words is "two hundred sixty-one million, nine hundred sixty-six thousand, five hundred twenty-eight".