647520 has 96 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 161280.

The previous prime is 647509. The next prime is 647527. The reversal of 647520 is 25746.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (647527) by changing a digit.

647520 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 15 ways as a sum of consecutive naturals, for example, 9085 + ... + 9155.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁶⁴⁷⁵²⁰ is an apocalyptic number.

647520 is a gapful number since it is divisible by the number (60) 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 647520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

647520 is an abundant number, since it is smaller than the sum of its proper divisors (1529760).

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

647520 is a wasteful number, since it uses less digits than its factorization.

647520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 647520 is about 804.6862742709. The cubic root of 647520 is about 86.5136022803.

The spelling of 647520 in words is "six hundred forty-seven thousand, five hundred twenty".