260401680 has 540 divisors, whose sum is σ = 1136513196. Its totient is φ = 53222400.

The previous prime is 260401663. The next prime is 260401693. The reversal of 260401680 is 86104062.

It can be written as a sum of positive squares in 2 ways, for example, as 41835024 + 218566656 = 6468^2 + 14784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4268850 + ... + 4268910.

Almost surely, 2^260401680 is an apocalyptic number.

260401680 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 260401680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568256598).

260401680 is an abundant number, since it is smaller than the sum of its proper divisors (876111516).

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

260401680 is a wasteful number, since it uses less digits than its factorization.

260401680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 260401680 is about 16136.9662576334. The cubic root of 260401680 is about 638.5789433740.

The spelling of 260401680 in words is "two hundred sixty million, four hundred one thousand, six hundred eighty".