261490896 has 80 divisors (see below), whose sum is σ = 762957120. Its totient is φ = 85726080.

The previous prime is 261490871. The next prime is 261490903. The reversal of 261490896 is 698094162.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21391 + ... + 31313.

It is an arithmetic number, because the mean of its divisors is an integer number (9536964).

Almost surely, 2^261490896 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 261490896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381478560).

261490896 is an abundant number, since it is smaller than the sum of its proper divisors (501466224).

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

261490896 is a wasteful number, since it uses less digits than its factorization.

261490896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10001 (or 9989 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 261490896 is about 16170.6801341193. The cubic root of 261490896 is about 639.4680606024.

The spelling of 261490896 in words is "two hundred sixty-one million, four hundred ninety thousand, eight hundred ninety-six".