213003648 has 256 divisors, whose sum is σ = 740275200. Its totient is φ = 59443200.

The previous prime is 213003641. The next prime is 213003677. The reversal of 213003648 is 846300312.

It is a happy number.

213003648 is a `hidden beast` number, since 2 + 13 + 0 + 0 + 3 + 648 = 666.

It is a super-2 number, since 2×213003648² = 90741108122615808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213003641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493993 + ... + 494423.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2^213003648 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 213003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

213003648 is an abundant number, since it is smaller than the sum of its proper divisors (527271552).

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

213003648 is a wasteful number, since it uses less digits than its factorization.

213003648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 213003648 is about 14594.6444972120. The cubic root of 213003648 is about 597.2126713832.

The spelling of 213003648 in words is "two hundred thirteen million, three thousand, six hundred forty-eight".