261734976 has 140 divisors (see below), whose sum is σ = 803079420. Its totient is φ = 84188160.

The previous prime is 261734971. The next prime is 261734983. The reversal of 261734976 is 679437162.

It can be written as a sum of positive squares in 2 ways, for example, as 43877376 + 217857600 = 6624^2 + 14760^2 .

It is not an unprimeable number, because it can be changed into a prime (261734971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149466 + ... + 151206.

Almost surely, 2^261734976 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 261734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401539710).

261734976 is an abundant number, since it is smaller than the sum of its proper divisors (541344444).

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

261734976 is a wasteful number, since it uses less digits than its factorization.

261734976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1775 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 261734976 is about 16178.2253662137. The cubic root of 261734976 is about 639.6669621433. Note that the first 3 decimals are identical.

The spelling of 261734976 in words is "two hundred sixty-one million, seven hundred thirty-four thousand, nine hundred seventy-six".