261536016 has 80 divisors (see below), whose sum is σ = 774109184. Its totient is φ = 74535552.

The previous prime is 261536003. The next prime is 261536021. The reversal of 261536016 is 610635162.

261536016 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 15 ways as a sum of consecutive naturals, for example, 183081 + ... + 184503.

Almost surely, 2^261536016 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 261536016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387054592).

261536016 is an abundant number, since it is smaller than the sum of its proper divisors (512573168).

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

261536016 is a wasteful number, since it uses less digits than its factorization.

261536016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 261536016 is about 16172.0751915145. The cubic root of 261536016 is about 639.5048383513.

The spelling of 261536016 in words is "two hundred sixty-one million, five hundred thirty-six thousand, sixteen".