261550632 has 96 divisors (see below), whose sum is σ = 781319520. Its totient is φ = 72696960.

The previous prime is 261550631. The next prime is 261550643. The reversal of 261550632 is 236055162.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 261550632.

It is not an unprimeable number, because it can be changed into a prime (261550631) 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, 40507 + ... + 46517.

It is an arithmetic number, because the mean of its divisors is an integer number (8138745).

Almost surely, 2^261550632 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 261550632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390659760).

261550632 is an abundant number, since it is smaller than the sum of its proper divisors (519768888).

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

261550632 is a wasteful number, since it uses less digits than its factorization.

261550632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6071 (or 6060 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 261550632 is about 16172.5270752595. The cubic root of 261550632 is about 639.5167510874.

The spelling of 261550632 in words is "two hundred sixty-one million, five hundred fifty thousand, six hundred thirty-two".