654272640 has 384 divisors, whose sum is σ = 2682126720. Its totient is φ = 149299200.

The previous prime is 654272617. The next prime is 654272669. The reversal of 654272640 is 46272456.

654272640 is a `hidden beast` number, since 6 + 5 + 4 + 2 + 7 + 2 + 640 = 666.

654272640 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 (384).

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 = 654272595 and 654272604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088340 + ... + 1088940.

It is an arithmetic number, because the mean of its divisors is an integer number (6984705).

Almost surely, 2^654272640 is an apocalyptic number.

654272640 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 654272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341063360).

654272640 is an abundant number, since it is smaller than the sum of its proper divisors (2027854080).

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

654272640 is an equidigital number, since it uses as much as digits as its factorization.

654272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 654272640 is about 25578.7536834772. The cubic root of 654272640 is about 868.1329760100.

The spelling of 654272640 in words is "six hundred fifty-four million, two hundred seventy-two thousand, six hundred forty".