648480 has 96 divisors (see below), whose sum is σ = 2346624. Its totient is φ = 147456.

The previous prime is 648449. The next prime is 648481. The reversal of 648480 is 84846.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 648480.

It is not an unprimeable number, because it can be changed into a prime (648481) by changing a digit.

648480 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, 3264 + ... + 3456.

It is an arithmetic number, because the mean of its divisors is an integer number (24444).

2⁶⁴⁸⁴⁸⁰ is an apocalyptic number.

648480 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 648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173312).

648480 is an abundant number, since it is smaller than the sum of its proper divisors (1698144).

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

648480 is a wasteful number, since it uses less digits than its factorization.

648480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 648480 is about 805.2825591058. The cubic root of 648480 is about 86.5563356052.

It can be divided in two parts, 648 and 480, that added together give a triangular number (1128 = T₄₇).

The spelling of 648480 in words is "six hundred forty-eight thousand, four hundred eighty".