213996720 has 240 divisors, whose sum is σ = 797948928. Its totient is φ = 47255040.

The previous prime is 213996707. The next prime is 213996721. The reversal of 213996720 is 27699312.

213996720 is digitally balanced in base 3, 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 (240).

It is not an unprimeable number, because it can be changed into a prime (213996721) 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 47 ways as a sum of consecutive naturals, for example, 364267 + ... + 364853.

Almost surely, 2^213996720 is an apocalyptic number.

213996720 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 213996720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398974464).

213996720 is an abundant number, since it is smaller than the sum of its proper divisors (583952208).

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

213996720 is a wasteful number, since it uses less digits than its factorization.

213996720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 213996720 is about 14628.6267298062. The cubic root of 213996720 is about 598.1393470264.

The spelling of 213996720 in words is "two hundred thirteen million, nine hundred ninety-six thousand, seven hundred twenty".