260802600 has 96 divisors (see below), whose sum is σ = 818385120. Its totient is φ = 68696320.

The previous prime is 260802551. The next prime is 260802601. The reversal of 260802600 is 6208062.

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

It is not an unprimeable number, because it can be changed into a prime (260802601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47182 + ... + 52418.

It is an arithmetic number, because the mean of its divisors is an integer number (8524845).

Almost surely, 2^260802600 is an apocalyptic number.

260802600 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 260802600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409192560).

260802600 is an abundant number, since it is smaller than the sum of its proper divisors (557582520).

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

260802600 is a wasteful number, since it uses less digits than its factorization.

260802600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 260802600 is about 16149.3838891767. The cubic root of 260802600 is about 638.9064985974.

It can be divided in two parts, 26080 and 2600, that added together give a triangular number (28680 = T₂₃₉).

The spelling of 260802600 in words is "two hundred sixty million, eight hundred two thousand, six hundred".