213106960 has 80 divisors (see below), whose sum is σ = 564071040. Its totient is φ = 74117120.

The previous prime is 213106921. The next prime is 213106961. The reversal of 213106960 is 69601312.

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

It is not an unprimeable number, because it can be changed into a prime (213106961) 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, 14976 + ... + 25504.

It is an arithmetic number, because the mean of its divisors is an integer number (7050888).

Almost surely, 2^213106960 is an apocalyptic number.

213106960 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 213106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282035520).

213106960 is an abundant number, since it is smaller than the sum of its proper divisors (350964080).

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

213106960 is a wasteful number, since it uses less digits than its factorization.

213106960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10576 (or 10570 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 213106960 is about 14598.1834486350. The cubic root of 213106960 is about 597.3092100474.

The spelling of 213106960 in words is "two hundred thirteen million, one hundred six thousand, nine hundred sixty".