261953760 has 96 divisors (see below), whose sum is σ = 868613760. Its totient is φ = 66175488.

The previous prime is 261953759. The next prime is 261953773. The reversal of 261953760 is 67359162.

261953760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 5242 + ... + 23481.

It is an arithmetic number, because the mean of its divisors is an integer number (9048060).

Almost surely, 2^261953760 is an apocalyptic number.

261953760 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 261953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434306880).

261953760 is an abundant number, since it is smaller than the sum of its proper divisors (606660000).

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

261953760 is a wasteful number, since it uses less digits than its factorization.

261953760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28760 (or 28752 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 261953760 is about 16184.9856348407. The cubic root of 261953760 is about 639.8451448257.

The spelling of 261953760 in words is "two hundred sixty-one million, nine hundred fifty-three thousand, seven hundred sixty".