261893000 has 64 divisors (see below), whose sum is σ = 619135920. Its totient is φ = 103680000.

The previous prime is 261892999. The next prime is 261893003. The reversal of 261893000 is 398162.

261893000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 65836996 + 196056004 = 8114^2 + 14002^2 .

It is not an unprimeable number, because it can be changed into a prime (261893003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99704 + ... + 102296.

Almost surely, 2^261893000 is an apocalyptic number.

261893000 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 261893000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309567960).

261893000 is an abundant number, since it is smaller than the sum of its proper divisors (357242920).

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

261893000 is a wasteful number, since it uses less digits than its factorization.

261893000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 261893000 is about 16183.1084776689. The cubic root of 261893000 is about 639.7956704488.

The spelling of 261893000 in words is "two hundred sixty-one million, eight hundred ninety-three thousand".