260863200 has 288 divisors, whose sum is σ = 1017122400. Its totient is φ = 64143360.

The previous prime is 260863199. The next prime is 260863201. The reversal of 260863200 is 2368062.

260863200 is a `hidden beast` number, since 26 + 0 + 8 + 632 + 0 + 0 = 666.

260863200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (260863199) and next prime (260863201).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×260863200² = 136099218228480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260863201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280336 + ... + 281264.

It is an arithmetic number, because the mean of its divisors is an integer number (3531675).

Almost surely, 2^260863200 is an apocalyptic number.

260863200 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 260863200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508561200).

260863200 is an abundant number, since it is smaller than the sum of its proper divisors (756259200).

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

260863200 is a wasteful number, since it uses less digits than its factorization.

260863200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 260863200 is about 16151.2600127668. The cubic root of 260863200 is about 638.9559801279.

The spelling of 260863200 in words is "two hundred sixty million, eight hundred sixty-three thousand, two hundred".