654541056 has 243 divisors, whose sum is σ = 2094597687. Its totient is φ = 196485120.

The previous prime is 654541009. The next prime is 654541067. The reversal of 654541056 is 650145456.

The square root of 654541056 is 25584.

It is a perfect power (a square), and thus also a powerful number.

654541056 is a `hidden beast` number, since 6 + 545 + 4 + 105 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 435974400 + 218566656 = 20880^2 + 14784^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 654541056.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15964396 + ... + 15964436.

Almost surely, 2^654541056 is an apocalyptic number.

654541056 is the 25584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654541056

654541056 is an abundant number, since it is smaller than the sum of its proper divisors (1440056631).

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

654541056 is a wasteful number, since it uses less digits than its factorization.

654541056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The cubic root of 654541056 is about 868.2516772508.

Multiplying 654541056 by its sum of digits (36), we get a square (23563478016 = 153504²).

654541056 divided by its sum of digits (36) gives a square (18181696 = 4264²).

The spelling of 654541056 in words is "six hundred fifty-four million, five hundred forty-one thousand, fifty-six".