261160368 has 80 divisors (see below), whose sum is σ = 795949056. Its totient is φ = 72207360.

The previous prime is 261160363. The next prime is 261160381. The reversal of 261160368 is 863061162.

It is a super-3 number, since 3×261160368³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (261160363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2121 + ... + 22952.

Almost surely, 2^261160368 is an apocalyptic number.

261160368 is a gapful number since it is divisible by the number (28) 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 261160368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397974528).

261160368 is an abundant number, since it is smaller than the sum of its proper divisors (534788688).

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

261160368 is a wasteful number, since it uses less digits than its factorization.

261160368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25122 (or 25116 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 261160368 is about 16160.4569242333. The cubic root of 261160368 is about 639.1985149320.

The spelling of 261160368 in words is "two hundred sixty-one million, one hundred sixty thousand, three hundred sixty-eight".