261596400 has 240 divisors, whose sum is σ = 926711520. Its totient is φ = 62668800.

The previous prime is 261596381. The next prime is 261596417. The reversal of 261596400 is 4695162.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639396 + ... + 639804.

It is an arithmetic number, because the mean of its divisors is an integer number (3861298).

Almost surely, 2^261596400 is an apocalyptic number.

261596400 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 261596400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463355760).

261596400 is an abundant number, since it is smaller than the sum of its proper divisors (665115120).

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

261596400 is a wasteful number, since it uses less digits than its factorization.

261596400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 261596400 is about 16173.9420055842. The cubic root of 261596400 is about 639.5540513166.

The spelling of 261596400 in words is "two hundred sixty-one million, five hundred ninety-six thousand, four hundred".