261848720 has 40 divisors (see below), whose sum is σ = 695770944. Its totient is φ = 89776512.

The previous prime is 261848689. The next prime is 261848729. The reversal of 261848720 is 27848162.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (261848729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233234 + ... + 234353.

Almost surely, 2^261848720 is an apocalyptic number.

261848720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261848720 is an abundant number, since it is smaller than the sum of its proper divisors (433922224).

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

261848720 is a wasteful number, since it uses less digits than its factorization.

261848720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467607 (or 467601 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 261848720 is about 16181.7403266769. The cubic root of 261848720 is about 639.7596102396.

The spelling of 261848720 in words is "two hundred sixty-one million, eight hundred forty-eight thousand, seven hundred twenty".