213627456 has 315 divisors, whose sum is σ = 762925449. Its totient is φ = 58931712.

The previous prime is 213627451. The next prime is 213627467. The reversal of 213627456 is 654726312.

The square root of 213627456 is 14616.

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

213627456 is a `hidden beast` number, since 21 + 3 + 627 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112021056 + 101606400 = 10584^2 + 10080^2 .

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

Its product of digits (60480) is a multiple of the sum of its prime factors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 213627456.

It is not an unprimeable number, because it can be changed into a prime (213627451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7366450 + ... + 7366478.

Almost surely, 2^213627456 is an apocalyptic number.

213627456 is the 14616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213627456

213627456 is an abundant number, since it is smaller than the sum of its proper divisors (549297993).

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

213627456 is an equidigital number, since it uses as much as digits as its factorization.

213627456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 41 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The cubic root of 213627456 is about 597.7951073391.

Multiplying 213627456 by its sum of digits (36), we get a square (7690588416 = 87696²).

213627456 divided by its sum of digits (36) gives a square (5934096 = 2436²).

It can be divided in two parts, 2136 and 27456, that added together give a palindrome (29592).

The spelling of 213627456 in words is "two hundred thirteen million, six hundred twenty-seven thousand, four hundred fifty-six".