261162616 has 64 divisors (see below), whose sum is σ = 579156480. Its totient is φ = 108842880.

The previous prime is 261162599. The next prime is 261162617. The reversal of 261162616 is 616261162.

261162616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261162617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190365 + ... + 191731.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2^261162616 is an apocalyptic number.

261162616 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 261162616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

261162616 is an abundant number, since it is smaller than the sum of its proper divisors (317993864).

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

261162616 is a wasteful number, since it uses less digits than its factorization.

261162616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1560 counting only the distinct ones).

The product of its digits is 5184, while the sum is 31.

The square root of 261162616 is about 16160.5264765725. The cubic root of 261162616 is about 639.2003489445.

The spelling of 261162616 in words is "two hundred sixty-one million, one hundred sixty-two thousand, six hundred sixteen".