261274896 has 75 divisors (see below), whose sum is σ = 757893301. Its totient is φ = 86897664.

The previous prime is 261274879. The next prime is 261274901. The reversal of 261274896 is 698472162.

It is a happy number.

The square root of 261274896 is 16164.

It is a perfect power (a square), and thus also a powerful number.

261274896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 159668496 + 101606400 = 12636^2 + 10080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 581680 + ... + 582128.

Almost surely, 2^261274896 is an apocalyptic number.

261274896 is the 16164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261274896

261274896 is an abundant number, since it is smaller than the sum of its proper divisors (496618405).

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

261274896 is an frugal number, since it uses more digits than its factorization.

261274896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 454 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The cubic root of 261274896 is about 639.2919382815.

The spelling of 261274896 in words is "two hundred sixty-one million, two hundred seventy-four thousand, eight hundred ninety-six".