261738900 has 54 divisors (see below), whose sum is σ = 820408862. Its totient is φ = 69796800.

The previous prime is 261738887. The next prime is 261738947. The reversal of 261738900 is 9837162.

261738900 is a `hidden beast` number, since 2 + 617 + 38 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14243076 + 247495824 = 3774^2 + 15732^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144511 + ... + 146310.

Almost surely, 2^261738900 is an apocalyptic number.

261738900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261738900 is an abundant number, since it is smaller than the sum of its proper divisors (558669962).

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

261738900 is a wasteful number, since it uses less digits than its factorization.

261738900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290841 (or 290831 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 261738900 is about 16178.3466398764. The cubic root of 261738900 is about 639.6701588127.

The spelling of 261738900 in words is "two hundred sixty-one million, seven hundred thirty-eight thousand, nine hundred".