213463680 has 128 divisors (see below), whose sum is σ = 690189120. Its totient is φ = 56107008.

The previous prime is 213463661. The next prime is 213463681. The reversal of 213463680 is 86364312.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (213463681) 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 15 ways as a sum of consecutive naturals, for example, 139399 + ... + 140921.

Almost surely, 2^213463680 is an apocalyptic number.

213463680 is a gapful number since it is divisible by the number (20) 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 213463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345094560).

213463680 is an abundant number, since it is smaller than the sum of its proper divisors (476725440).

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

213463680 is a wasteful number, since it uses less digits than its factorization.

213463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 213463680 is about 14610.3962985266. The cubic root of 213463680 is about 597.6423031330.

The spelling of 213463680 in words is "two hundred thirteen million, four hundred sixty-three thousand, six hundred eighty".