260822500 has 135 divisors (see below), whose sum is σ = 639458589. Its totient is φ = 93024000.

The previous prime is 260822473. The next prime is 260822537. The reversal of 260822500 is 5228062.

260822500 = T₅ + T₆ + ... + T₁₁₆₀.

The square root of 260822500 is 16150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 127373796 + 133448704 = 11286^2 + 11552^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13727491 + ... + 13727509.

Almost surely, 2^260822500 is an apocalyptic number.

260822500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

260822500 is the 16150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260822500

260822500 is an abundant number, since it is smaller than the sum of its proper divisors (378636089).

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

260822500 is a wasteful number, since it uses less digits than its factorization.

260822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 260822500 is about 638.9227483280.

Multiplying 260822500 by its sum of digits (25), we get a square (6520562500 = 80750²).

260822500 divided by its sum of digits (25) gives a square (10432900 = 3230²).

It can be divided in two parts, 26082 and 2500, that added together give a palindrome (28582).

The spelling of 260822500 in words is "two hundred sixty million, eight hundred twenty-two thousand, five hundred".