260073000 has 384 divisors, whose sum is σ = 998749440. Its totient is φ = 60480000.

The previous prime is 260072999. The next prime is 260073059. The reversal of 260073000 is 370062.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3662965 + ... + 3663035.

It is an arithmetic number, because the mean of its divisors is an integer number (2600910).

Almost surely, 2^260073000 is an apocalyptic number.

260073000 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 260073000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499374720).

260073000 is an abundant number, since it is smaller than the sum of its proper divisors (738676440).

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

260073000 is a wasteful number, since it uses less digits than its factorization.

260073000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 260073000 is about 16126.7789716360. The cubic root of 260073000 is about 638.3101579905.

The spelling of 260073000 in words is "two hundred sixty million, seventy-three thousand".