654880 has 24 divisors (see below), whose sum is σ = 1547532. Its totient is φ = 261888.

The previous prime is 654877. The next prime is 654889. The reversal of 654880 is 88456.

654880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 8464 = 804^2 + 92^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (654889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1887 + ... + 2206.

654880 is a Friedman number, since it can be written as 80*(8*4^5-6), using all its digits and the basic arithmetic operations.

2⁶⁵⁴⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

654880 is an abundant number, since it is smaller than the sum of its proper divisors (892652).

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

654880 is a wasteful number, since it uses less digits than its factorization.

654880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4100 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 654880 is about 809.2465631685. The cubic root of 654880 is about 86.8401521640.

The spelling of 654880 in words is "six hundred fifty-four thousand, eight hundred eighty".