260986800 has 60 divisors (see below), whose sum is σ = 836031560. Its totient is φ = 69596160.

The previous prime is 260986783. The next prime is 260986801. The reversal of 260986800 is 8689062.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×260986800³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (260986801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107545 + ... + 109944.

Almost surely, 2^260986800 is an apocalyptic number.

260986800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260986800 is an abundant number, since it is smaller than the sum of its proper divisors (575044760).

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

260986800 is a wasteful number, since it uses less digits than its factorization.

260986800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217510 (or 217499 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 260986800 is about 16155.0858864941. The cubic root of 260986800 is about 639.0568791040.

The spelling of 260986800 in words is "two hundred sixty million, nine hundred eighty-six thousand, eight hundred".