261824920 has 48 divisors (see below), whose sum is σ = 673961040. Its totient is φ = 89675712.

The previous prime is 261824909. The next prime is 261824923. The reversal of 261824920 is 29428162.

261824920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261824923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270277 + ... + 271243.

It is an arithmetic number, because the mean of its divisors is an integer number (14040855).

Almost surely, 2^261824920 is an apocalyptic number.

261824920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261824920 is an abundant number, since it is smaller than the sum of its proper divisors (412136120).

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

261824920 is an frugal number, since it uses more digits than its factorization.

261824920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 261824920 is about 16181.0049131690. The cubic root of 261824920 is about 639.7402266046.

The spelling of 261824920 in words is "two hundred sixty-one million, eight hundred twenty-four thousand, nine hundred twenty".