261151600 has 60 divisors (see below), whose sum is σ = 630377560. Its totient is φ = 103968000.

The previous prime is 261151573. The next prime is 261151613. The reversal of 261151600 is 6151162.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90175 + ... + 93025.

Almost surely, 2^261151600 is an apocalyptic number.

261151600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261151600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315188780).

261151600 is an abundant number, since it is smaller than the sum of its proper divisors (369225960).

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

261151600 is a wasteful number, since it uses less digits than its factorization.

261151600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 261151600 is about 16160.1856424980. The cubic root of 261151600 is about 639.1913615300.

The spelling of 261151600 in words is "two hundred sixty-one million, one hundred fifty-one thousand, six hundred".