261011268 has 192 divisors, whose sum is σ = 855429120. Its totient is φ = 67060224.

The previous prime is 261011249. The next prime is 261011269. The reversal of 261011268 is 862110162.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (261011269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295155 + ... + 296037.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2^261011268 is an apocalyptic number.

261011268 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 261011268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427714560).

261011268 is an abundant number, since it is smaller than the sum of its proper divisors (594417852).

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

261011268 is a wasteful number, since it uses less digits than its factorization.

261011268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 261011268 is about 16155.8431534847. The cubic root of 261011268 is about 639.0768494053.

The spelling of 261011268 in words is "two hundred sixty-one million, eleven thousand, two hundred sixty-eight".