654056640 has 448 divisors, whose sum is σ = 2517160320. Its totient is φ = 159252480.

The previous prime is 654056629. The next prime is 654056647. The reversal of 654056640 is 46650456.

It is a happy number.

654056640 is a `hidden beast` number, since 6 + 5 + 4 + 0 + 5 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 654056595 and 654056604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654056647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8959644 + ... + 8959716.

Almost surely, 2^654056640 is an apocalyptic number.

654056640 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 654056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258580160).

654056640 is an abundant number, since it is smaller than the sum of its proper divisors (1863103680).

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

654056640 is a wasteful number, since it uses less digits than its factorization.

654056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 654056640 is about 25574.5310807452. The cubic root of 654056640 is about 868.0374310488.

The spelling of 654056640 in words is "six hundred fifty-four million, fifty-six thousand, six hundred forty".