261140000 has 120 divisors (see below), whose sum is σ = 701437968. Its totient is φ = 94880000.

The previous prime is 261139997. The next prime is 261140017. The reversal of 261140000 is 41162.

261140000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 219407 + ... + 220593.

Almost surely, 2^261140000 is an apocalyptic number.

261140000 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 261140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350718984).

261140000 is an abundant number, since it is smaller than the sum of its proper divisors (440297968).

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

261140000 is a wasteful number, since it uses less digits than its factorization.

261140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 261140000 is about 16159.8267317444. The cubic root of 261140000 is about 639.1818973854.

Adding to 261140000 its reverse (41162), we get a palindrome (261181162).

The spelling of 261140000 in words is "two hundred sixty-one million, one hundred forty thousand".