261468240 has 80 divisors (see below), whose sum is σ = 884246976. Its totient is φ = 63385600.

The previous prime is 261468227. The next prime is 261468241. The reversal of 261468240 is 42864162.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261468241) 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 15 ways as a sum of consecutive naturals, for example, 46881 + ... + 52160.

Almost surely, 2^261468240 is an apocalyptic number.

261468240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261468240 is an abundant number, since it is smaller than the sum of its proper divisors (622778736).

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

261468240 is a wasteful number, since it uses less digits than its factorization.

261468240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99068 (or 99062 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 261468240 is about 16169.9795918239. The cubic root of 261468240 is about 639.4495918819.

The spelling of 261468240 in words is "two hundred sixty-one million, four hundred sixty-eight thousand, two hundred forty".