261298944 has 216 divisors, whose sum is σ = 816291840. Its totient is φ = 80123904.

The previous prime is 261298937. The next prime is 261298951. The reversal of 261298944 is 449892162.

It is an interprime number because it is at equal distance from previous prime (261298937) and next prime (261298951).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 261298944.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2057409 + ... + 2057535.

Almost surely, 2^261298944 is an apocalyptic number.

261298944 is a gapful number since it is divisible by the number (24) 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 261298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408145920).

261298944 is an abundant number, since it is smaller than the sum of its proper divisors (554992896).

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

261298944 is a wasteful number, since it uses less digits than its factorization.

261298944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 261298944 is about 16164.7438581624. The cubic root of 261298944 is about 639.3115513673.

The spelling of 261298944 in words is "two hundred sixty-one million, two hundred ninety-eight thousand, nine hundred forty-four".