213565880 has 128 divisors (see below), whose sum is σ = 545054400. Its totient is φ = 74649600.

The previous prime is 213565861. The next prime is 213565897. The reversal of 213565880 is 88565312.

213565880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213565880² = 91220770200348800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959266 + ... + 1959374.

Almost surely, 2^213565880 is an apocalyptic number.

213565880 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 213565880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272527200).

213565880 is an abundant number, since it is smaller than the sum of its proper divisors (331488520).

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

213565880 is a wasteful number, since it uses less digits than its factorization.

213565880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 213565880 is about 14613.8933895112. The cubic root of 213565880 is about 597.7376656452.

The spelling of 213565880 in words is "two hundred thirteen million, five hundred sixty-five thousand, eight hundred eighty".