213073560 has 288 divisors, whose sum is σ = 825888960. Its totient is φ = 47480832.

The previous prime is 213073559. The next prime is 213073561. The reversal of 213073560 is 65370312.

It is a happy number.

213073560 is a `hidden beast` number, since 2 + 1 + 30 + 73 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (213073559) and next prime (213073561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213073561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 828952 + ... + 829208.

It is an arithmetic number, because the mean of its divisors is an integer number (2867670).

Almost surely, 2^213073560 is an apocalyptic number.

213073560 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 213073560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412944480).

213073560 is an abundant number, since it is smaller than the sum of its proper divisors (612815400).

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

213073560 is a wasteful number, since it uses less digits than its factorization.

213073560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 321 counting only the distinct ones).

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

The square root of 213073560 is about 14597.0394258562. The cubic root of 213073560 is about 597.2780032300.

The spelling of 213073560 in words is "two hundred thirteen million, seventy-three thousand, five hundred sixty".