213585280 has 128 divisors (see below), whose sum is σ = 550579680. Its totient is φ = 78938112.

The previous prime is 213585241. The next prime is 213585293. The reversal of 213585280 is 82585312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 728814 + ... + 729106.

Almost surely, 2^213585280 is an apocalyptic number.

213585280 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 213585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275289840).

213585280 is an abundant number, since it is smaller than the sum of its proper divisors (336994400).

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

213585280 is a wasteful number, since it uses less digits than its factorization.

213585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 213585280 is about 14614.5571263723. The cubic root of 213585280 is about 597.7557642910.

The spelling of 213585280 in words is "two hundred thirteen million, five hundred eighty-five thousand, two hundred eighty".