213075360 has 240 divisors, whose sum is σ = 772240392. Its totient is φ = 55296000.

The previous prime is 213075353. The next prime is 213075361. The reversal of 213075360 is 63570312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 180311184 + 32764176 = 13428^2 + 5724^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×213075360² = 90802218078259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213075361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 531160 + ... + 531560.

Almost surely, 2^213075360 is an apocalyptic number.

213075360 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 213075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386120196).

213075360 is an abundant number, since it is smaller than the sum of its proper divisors (559165032).

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

213075360 is a wasteful number, since it uses less digits than its factorization.

213075360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 213075360 is about 14597.1010820642. The cubic root of 213075360 is about 597.2796851177.

The spelling of 213075360 in words is "two hundred thirteen million, seventy-five thousand, three hundred sixty".