261271296 has 324 divisors, whose sum is σ = 904457736. Its totient is φ = 71884800.

The previous prime is 261271273. The next prime is 261271303. The reversal of 261271296 is 692172162.

It is a super-2 number, since 2×261271296² = 136525380227039232, which contains 22 as substring.

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 261271296.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4283106 + ... + 4283166.

Almost surely, 2^261271296 is an apocalyptic number.

261271296 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 261271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452228868).

261271296 is an abundant number, since it is smaller than the sum of its proper divisors (643186440).

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

261271296 is a wasteful number, since it uses less digits than its factorization.

261271296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 261271296 is about 16163.8886410418. Note that the first 3 decimals coincide. The cubic root of 261271296 is about 639.2890020872.

The spelling of 261271296 in words is "two hundred sixty-one million, two hundred seventy-one thousand, two hundred ninety-six".