247680 has 96 divisors (see below), whose sum is σ = 875160. Its totient is φ = 64512.

The previous prime is 247651. The next prime is 247691. The reversal of 247680 is 86742.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×247680² = 122690764800, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

247680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5739 + ... + 5781.

247680 is a Friedman number, since it can be written as 720*86*4, using all its digits and the basic arithmetic operations.

2²⁴⁷⁶⁸⁰ is an apocalyptic number.

247680 is a gapful number since it is divisible by the number (20) 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 247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437580).

247680 is an abundant number, since it is smaller than the sum of its proper divisors (627480).

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

247680 is a wasteful number, since it uses less digits than its factorization.

247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 247680 is about 497.6745924799. The cubic root of 247680 is about 62.8005787876.

It can be divided in two parts, 2476 and 80, that added together give a triangular number (2556 = T₇₁).

The spelling of 247680 in words is "two hundred forty-seven thousand, six hundred eighty".