213086720 has 320 divisors, whose sum is σ = 678813696. Its totient is φ = 62177280.

The previous prime is 213086719. The next prime is 213086747. The reversal of 213086720 is 27680312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

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, 4533737 + ... + 4533783.

Almost surely, 2^213086720 is an apocalyptic number.

213086720 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 213086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339406848).

213086720 is an abundant number, since it is smaller than the sum of its proper divisors (465726976).

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

213086720 is a wasteful number, since it uses less digits than its factorization.

213086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 213086720 is about 14597.4901952356. The cubic root of 213086720 is about 597.2902994791.

The spelling of 213086720 in words is "two hundred thirteen million, eighty-six thousand, seven hundred twenty".