654575616 has 144 divisors (see below), whose sum is σ = 2002700700. Its totient is φ = 205258752.

The previous prime is 654575591. The next prime is 654575639. The reversal of 654575616 is 616575456.

654575616 is a `hidden beast` number, since 65 + 4 + 575 + 6 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 571401216 + 83174400 = 23904^2 + 9120^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312300 + ... + 314388.

Almost surely, 2^654575616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654575616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001350350).

654575616 is an abundant number, since it is smaller than the sum of its proper divisors (1348125084).

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

654575616 is a wasteful number, since it uses less digits than its factorization.

654575616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2111 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 654575616 is about 25584.6754132234. The cubic root of 654575616 is about 868.2669583140.

The spelling of 654575616 in words is "six hundred fifty-four million, five hundred seventy-five thousand, six hundred sixteen".