654125040 has 120 divisors (see below), whose sum is σ = 2201443920. Its totient is φ = 174062592.

The previous prime is 654125039. The next prime is 654125053. The reversal of 654125040 is 40521456.

654125040 is a `hidden beast` number, since 654 + 1 + 2 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 654124995 and 654125013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581919 + ... + 583041.

It is an arithmetic number, because the mean of its divisors is an integer number (18345366).

Almost surely, 2^654125040 is an apocalyptic number.

654125040 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 654125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100721960).

654125040 is an abundant number, since it is smaller than the sum of its proper divisors (1547318880).

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

654125040 is a wasteful number, since it uses less digits than its factorization.

654125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 654125040 is about 25575.8683137054. The cubic root of 654125040 is about 868.0676892288.

Adding to 654125040 its reverse (40521456), we get a palindrome (694646496).

The spelling of 654125040 in words is "six hundred fifty-four million, one hundred twenty-five thousand, forty".