261058000 has 160 divisors (see below), whose sum is σ = 747452160. Its totient is φ = 86284800.

The previous prime is 261057997. The next prime is 261058009. The reversal of 261058000 is 850162.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261058009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 405679 + ... + 406321.

It is an arithmetic number, because the mean of its divisors is an integer number (4671576).

Almost surely, 2^261058000 is an apocalyptic number.

261058000 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 261058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373726080).

261058000 is an abundant number, since it is smaller than the sum of its proper divisors (486394160).

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

261058000 is a wasteful number, since it uses less digits than its factorization.

261058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 261058000 is about 16157.2893766250. The cubic root of 261058000 is about 639.1149876785.

The spelling of 261058000 in words is "two hundred sixty-one million, fifty-eight thousand".