261759960 has 576 divisors, whose sum is σ = 1152403200. Its totient is φ = 50803200.

The previous prime is 261759929. The next prime is 261759991. The reversal of 261759960 is 69957162.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (261759929) and next prime (261759991).

It is a super-3 number, since 3×261759960³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3686725 + ... + 3686795.

It is an arithmetic number, because the mean of its divisors is an integer number (2000700).

Almost surely, 2^261759960 is an apocalyptic number.

261759960 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 261759960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576201600).

261759960 is an abundant number, since it is smaller than the sum of its proper divisors (890643240).

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

261759960 is a wasteful number, since it uses less digits than its factorization.

261759960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 261759960 is about 16178.9974967549. The cubic root of 261759960 is about 639.6873147039.

The spelling of 261759960 in words is "two hundred sixty-one million, seven hundred fifty-nine thousand, nine hundred sixty".