261967050 has 144 divisors (see below), whose sum is σ = 738167040. Its totient is φ = 66528000.

The previous prime is 261967009. The next prime is 261967073. The reversal of 261967050 is 50769162.

It is a junction number, because it is equal to n+sod(n) for n = 261966996 and 261967014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1241445 + ... + 1241655.

It is an arithmetic number, because the mean of its divisors is an integer number (5126160).

Almost surely, 2^261967050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261967050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369083520).

261967050 is an abundant number, since it is smaller than the sum of its proper divisors (476199990).

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

261967050 is a wasteful number, since it uses less digits than its factorization.

261967050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

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

The square root of 261967050 is about 16185.3961953361. The cubic root of 261967050 is about 639.8559653082.

The spelling of 261967050 in words is "two hundred sixty-one million, nine hundred sixty-seven thousand, fifty".