213946880 has 80 divisors (see below), whose sum is σ = 586301760. Its totient is φ = 73347072.

The previous prime is 213946877. The next prime is 213946939. The reversal of 213946880 is 88649312.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11951 + ... + 23889.

It is an arithmetic number, because the mean of its divisors is an integer number (7328772).

Almost surely, 2^213946880 is an apocalyptic number.

213946880 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 213946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293150880).

213946880 is an abundant number, since it is smaller than the sum of its proper divisors (372354880).

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

213946880 is an equidigital number, since it uses as much as digits as its factorization.

213946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11969 (or 11953 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 213946880 is about 14626.9231214224. The cubic root of 213946880 is about 598.0929077170.

The spelling of 213946880 in words is "two hundred thirteen million, nine hundred forty-six thousand, eight hundred eighty".