261563346 has 48 divisors (see below), whose sum is σ = 625229280. Its totient is φ = 78365760.

The previous prime is 261563311. The next prime is 261563347. The reversal of 261563346 is 643365162.

261563346 is a `hidden beast` number, since 2 + 6 + 15 + 633 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 261563346.

It is not an unprimeable number, because it can be changed into a prime (261563347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10201 + ... + 25043.

It is an arithmetic number, because the mean of its divisors is an integer number (13025610).

Almost surely, 2^261563346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261563346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312614640).

261563346 is an abundant number, since it is smaller than the sum of its proper divisors (363665934).

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

261563346 is a wasteful number, since it uses less digits than its factorization.

261563346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14951 (or 14948 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 261563346 is about 16172.9201444884. The cubic root of 261563346 is about 639.5271132420.

The spelling of 261563346 in words is "two hundred sixty-one million, five hundred sixty-three thousand, three hundred forty-six".