261079056 has 180 divisors, whose sum is σ = 858931632. Its totient is φ = 73809792.

The previous prime is 261079001. The next prime is 261079069. The reversal of 261079056 is 650970162.

It is a super-2 number, since 2×261079056² = 136324546963702272, 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 261079056.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1150015 + ... + 1150241.

Almost surely, 2^261079056 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 261079056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429465816).

261079056 is an abundant number, since it is smaller than the sum of its proper divisors (597852576).

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

261079056 is a wasteful number, since it uses less digits than its factorization.

261079056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 261079056 is about 16157.9409579315. The cubic root of 261079056 is about 639.1321701225.

The spelling of 261079056 in words is "two hundred sixty-one million, seventy-nine thousand, fifty-six".