654042240 has 192 divisors, whose sum is σ = 2272233600. Its totient is φ = 173352960.

The previous prime is 654042223. The next prime is 654042251. The reversal of 654042240 is 42240456.

654042240 is a `hidden beast` number, since 654 + 0 + 4 + 2 + 2 + 4 + 0 = 666.

654042240 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 (192).

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, 1560751 + ... + 1561169.

It is an arithmetic number, because the mean of its divisors is an integer number (11834550).

Almost surely, 2^654042240 is an apocalyptic number.

654042240 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 654042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136116800).

654042240 is an abundant number, since it is smaller than the sum of its proper divisors (1618191360).

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

654042240 is a wasteful number, since it uses less digits than its factorization.

654042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 654042240 is about 25574.2495491070. The cubic root of 654042240 is about 868.0310606368.

Adding to 654042240 its reverse (42240456), we get a palindrome (696282696).

The spelling of 654042240 in words is "six hundred fifty-four million, forty-two thousand, two hundred forty".