260123760 has 120 divisors (see below), whose sum is σ = 940814784. Its totient is φ = 64028160.

The previous prime is 260123729. The next prime is 260123761. The reversal of 260123760 is 67321062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×260123760³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260123761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4536 + ... + 23255.

Almost surely, 2^260123760 is an apocalyptic number.

260123760 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 260123760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470407392).

260123760 is an abundant number, since it is smaller than the sum of its proper divisors (680691024).

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

260123760 is a wasteful number, since it uses less digits than its factorization.

260123760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27823 (or 27814 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 260123760 is about 16128.3526747154. The cubic root of 260123760 is about 638.3516828904.

The spelling of 260123760 in words is "two hundred sixty million, one hundred twenty-three thousand, seven hundred sixty".