261732480 has 64 divisors (see below), whose sum is σ = 834278400. Its totient is φ = 69794816.

The previous prime is 261732469. The next prime is 261732491. The reversal of 261732480 is 84237162.

It is an interprime number because it is at equal distance from previous prime (261732469) and next prime (261732491).

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 66240 + ... + 70079.

It is an arithmetic number, because the mean of its divisors is an integer number (13035600).

Almost surely, 2^261732480 is an apocalyptic number.

261732480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261732480 is an abundant number, since it is smaller than the sum of its proper divisors (572545920).

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

261732480 is a wasteful number, since it uses less digits than its factorization.

261732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136341 (or 136329 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 261732480 is about 16178.1482253069. The cubic root of 261732480 is about 639.6649287711.

The spelling of 261732480 in words is "two hundred sixty-one million, seven hundred thirty-two thousand, four hundred eighty".