213127680 has 80 divisors (see below), whose sum is σ = 681367104. Its totient is φ = 56832000.

The previous prime is 213127667. The next prime is 213127687. The reversal of 213127680 is 86721312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (213127687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6196 + ... + 21555.

Almost surely, 2^213127680 is an apocalyptic number.

213127680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213127680 is an abundant number, since it is smaller than the sum of its proper divisors (468239424).

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

213127680 is an equidigital number, since it uses as much as digits as its factorization.

213127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27777 (or 27761 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 213127680 is about 14598.8931087257. The cubic root of 213127680 is about 597.3285678475.

Adding to 213127680 its reverse (86721312), we get a palindrome (299848992).

The spelling of 213127680 in words is "two hundred thirteen million, one hundred twenty-seven thousand, six hundred eighty".