260140672 has 128 divisors (see below), whose sum is σ = 612489600. Its totient is φ = 108810240.

The previous prime is 260140633. The next prime is 260140691. The reversal of 260140672 is 276041062.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×260140672³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 260140672.

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, 938998 + ... + 939274.

It is an arithmetic number, because the mean of its divisors is an integer number (4785075).

Almost surely, 2^260140672 is an apocalyptic number.

260140672 is a gapful number since it is divisible by the number (22) 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 260140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306244800).

260140672 is an abundant number, since it is smaller than the sum of its proper divisors (352348928).

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

260140672 is a wasteful number, since it uses less digits than its factorization.

260140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 260140672 is about 16128.8769602846. The cubic root of 260140672 is about 638.3655167795.

The spelling of 260140672 in words is "two hundred sixty million, one hundred forty thousand, six hundred seventy-two".