213667120 has 40 divisors (see below), whose sum is σ = 498338640. Its totient is φ = 85198080.

The previous prime is 213667093. The next prime is 213667121. The reversal of 213667120 is 21766312.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (213667121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22446 + ... + 30514.

It is an arithmetic number, because the mean of its divisors is an integer number (12458466).

Almost surely, 2^213667120 is an apocalyptic number.

213667120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213667120 is an abundant number, since it is smaller than the sum of its proper divisors (284671520).

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

213667120 is a wasteful number, since it uses less digits than its factorization.

213667120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413 (or 8407 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 213667120 is about 14617.3568062082. The cubic root of 213667120 is about 597.8321023931.

The spelling of 213667120 in words is "two hundred thirteen million, six hundred sixty-seven thousand, one hundred twenty".