261788304 has 160 divisors (see below), whose sum is σ = 754237440. Its totient is φ = 77875200.

The previous prime is 261788299. The next prime is 261788309. The reversal of 261788304 is 403887162.

It is an interprime number because it is at equal distance from previous prime (261788299) and next prime (261788309).

It is a super-2 number, since 2×261788304² = 137066232222392832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (261788309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1998319 + ... + 1998449.

It is an arithmetic number, because the mean of its divisors is an integer number (4713984).

Almost surely, 2^261788304 is an apocalyptic number.

261788304 is a gapful number since it is divisible by the number (24) 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 261788304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377118720).

261788304 is an abundant number, since it is smaller than the sum of its proper divisors (492449136).

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

261788304 is a wasteful number, since it uses less digits than its factorization.

261788304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 261788304 is about 16179.8734234851. The cubic root of 261788304 is about 639.7104028325.

The spelling of 261788304 in words is "two hundred sixty-one million, seven hundred eighty-eight thousand, three hundred four".