261686496 has 48 divisors (see below), whose sum is σ = 705502224. Its totient is φ = 84870144.

The previous prime is 261686489. The next prime is 261686507. The reversal of 261686496 is 694686162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33285 + ... + 40388.

It is an arithmetic number, because the mean of its divisors is an integer number (14697963).

Almost surely, 2^261686496 is an apocalyptic number.

It is an amenable number.

261686496 is an abundant number, since it is smaller than the sum of its proper divisors (443815728).

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

261686496 is a wasteful number, since it uses less digits than its factorization.

261686496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73723 (or 73715 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 261686496 is about 16176.7269866311. The cubic root of 261686496 is about 639.6274654869.

The spelling of 261686496 in words is "two hundred sixty-one million, six hundred eighty-six thousand, four hundred ninety-six".