260167200 has 144 divisors (see below), whose sum is σ = 866882016. Its totient is φ = 67737600.

The previous prime is 260167199. The next prime is 260167211. The reversal of 260167200 is 2761062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101940 + ... + 104460.

It is an arithmetic number, because the mean of its divisors is an integer number (6020014).

Almost surely, 2^260167200 is an apocalyptic number.

260167200 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 260167200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433441008).

260167200 is an abundant number, since it is smaller than the sum of its proper divisors (606714816).

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

260167200 is a wasteful number, since it uses less digits than its factorization.

260167200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 260167200 is about 16129.6993152383. The cubic root of 260167200 is about 638.3872152765.

The spelling of 260167200 in words is "two hundred sixty million, one hundred sixty-seven thousand, two hundred".