261114900 has 72 divisors (see below), whose sum is σ = 799948800. Its totient is φ = 65533440.

The previous prime is 261114899. The next prime is 261114913. The reversal of 261114900 is 9411162.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20500 + ... + 30699.

It is an arithmetic number, because the mean of its divisors is an integer number (11110400).

Almost surely, 2^261114900 is an apocalyptic number.

261114900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261114900 is an abundant number, since it is smaller than the sum of its proper divisors (538833900).

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

261114900 is a wasteful number, since it uses less digits than its factorization.

261114900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51233 (or 51226 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 261114900 is about 16159.0500958441. The cubic root of 261114900 is about 639.1614179750.

The spelling of 261114900 in words is "two hundred sixty-one million, one hundred fourteen thousand, nine hundred".