261027936 has 216 divisors, whose sum is σ = 834515136. Its totient is φ = 77276160.

The previous prime is 261027901. The next prime is 261027937. The reversal of 261027936 is 639720162.

261027936 is a `hidden beast` number, since 2 + 610 + 2 + 7 + 9 + 36 = 666.

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 261027936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261027937) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1508746 + ... + 1508918.

It is an arithmetic number, because the mean of its divisors is an integer number (3863496).

Almost surely, 2^261027936 is an apocalyptic number.

261027936 is a gapful number since it is divisible by the number (26) 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 261027936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417257568).

261027936 is an abundant number, since it is smaller than the sum of its proper divisors (573487200).

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

261027936 is a wasteful number, since it uses less digits than its factorization.

261027936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 261027936 is about 16156.3589957639. The cubic root of 261027936 is about 639.0904527850.

The spelling of 261027936 in words is "two hundred sixty-one million, twenty-seven thousand, nine hundred thirty-six".