654042816 has 224 divisors, whose sum is σ = 2218944000. Its totient is φ = 185048064.

The previous prime is 654042799. The next prime is 654042847. The reversal of 654042816 is 618240456.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×654042816² = 855544010322419712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1681150 + ... + 1681538.

It is an arithmetic number, because the mean of its divisors is an integer number (9906000).

Almost surely, 2^654042816 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 654042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109472000).

654042816 is an abundant number, since it is smaller than the sum of its proper divisors (1564901184).

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

654042816 is a wasteful number, since it uses less digits than its factorization.

654042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 654042816 is about 25574.2608104320. The cubic root of 654042816 is about 868.0313154551.

The spelling of 654042816 in words is "six hundred fifty-four million, forty-two thousand, eight hundred sixteen".