654105040 has 80 divisors (see below), whose sum is σ = 1543651200. Its totient is φ = 257748480.

The previous prime is 654105031. The next prime is 654105043. The reversal of 654105040 is 40501456.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 654104996 and 654105014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654105043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2881407 + ... + 2881633.

It is an arithmetic number, because the mean of its divisors is an integer number (19295640).

Almost surely, 2^654105040 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 654105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771825600).

654105040 is an abundant number, since it is smaller than the sum of its proper divisors (889546160).

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

654105040 is a wasteful number, since it uses less digits than its factorization.

654105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 654105040 is about 25575.4773171489. The cubic root of 654105040 is about 868.0588420260.

Adding to 654105040 its reverse (40501456), we get a palindrome (694606496).

The spelling of 654105040 in words is "six hundred fifty-four million, one hundred five thousand, forty".