261277056 has 256 divisors, whose sum is σ = 851904000. Its totient is φ = 78465024.

The previous prime is 261277039. The next prime is 261277069. The reversal of 261277056 is 650772162.

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 261277056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1510186 + ... + 1510358.

It is an arithmetic number, because the mean of its divisors is an integer number (3327750).

Almost surely, 2^261277056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261277056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425952000).

261277056 is an abundant number, since it is smaller than the sum of its proper divisors (590626944).

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

261277056 is a wasteful number, since it uses less digits than its factorization.

261277056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 261277056 is about 16164.0668150067. The cubic root of 261277056 is about 639.2936999851.

The spelling of 261277056 in words is "two hundred sixty-one million, two hundred seventy-seven thousand, fifty-six".