654720 has 128 divisors (see below), whose sum is σ = 2350080. Its totient is φ = 153600.

The previous prime is 654701. The next prime is 654727. The reversal of 654720 is 27456.

It is a happy number.

654720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 (654727) by changing a digit.

654720 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, 21105 + ... + 21135.

It is an arithmetic number, because the mean of its divisors is an integer number (18360).

2⁶⁵⁴⁷²⁰ is an apocalyptic number.

654720 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 654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175040).

654720 is an abundant number, since it is smaller than the sum of its proper divisors (1695360).

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

654720 is a wasteful number, since it uses less digits than its factorization.

654720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 52 counting only the distinct ones).

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

The square root of 654720 is about 809.1476997434. The cubic root of 654720 is about 86.8330793384.

Subtracting from 654720 its reverse (27456), we obtain a square (627264 = 792²).

The spelling of 654720 in words is "six hundred fifty-four thousand, seven hundred twenty".