213675360 has 48 divisors (see below), whose sum is σ = 673078896. Its totient is φ = 56979968.

The previous prime is 213675353. The next prime is 213675361. The reversal of 213675360 is 63576312.

213675360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×213675360² = 91314318942259200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213675361) 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, 222099 + ... + 223058.

It is an arithmetic number, because the mean of its divisors is an integer number (14022477).

Almost surely, 2^213675360 is an apocalyptic number.

213675360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213675360 is an abundant number, since it is smaller than the sum of its proper divisors (459403536).

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

213675360 is a wasteful number, since it uses less digits than its factorization.

213675360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445175 (or 445167 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 213675360 is about 14617.6386601941. The cubic root of 213675360 is about 597.8397873584.

The spelling of 213675360 in words is "two hundred thirteen million, six hundred seventy-five thousand, three hundred sixty".