247520 has 96 divisors (see below), whose sum is σ = 762048. Its totient is φ = 73728.

The previous prime is 247519. The next prime is 247529. The reversal of 247520 is 25742.

247520 = T₁₀₁ + T₁₀₂ + ... + T₁₃₅.

247520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×247520² = 122532300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 247492 and 247501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14552 + ... + 14568.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

2²⁴⁷⁵²⁰ is an apocalyptic number.

247520 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 247520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024).

247520 is an abundant number, since it is smaller than the sum of its proper divisors (514528).

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

247520 is a wasteful number, since it uses less digits than its factorization.

247520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 247520 is about 497.5138189036. The cubic root of 247520 is about 62.7870529248.

It can be divided in two parts, 247 and 520, that added together give a palindrome (767).

The spelling of 247520 in words is "two hundred forty-seven thousand, five hundred twenty".