213408 has 96 divisors (see below), whose sum is σ = 705600. Its totient is φ = 62208.

The previous prime is 213407. The next prime is 213449. The reversal of 213408 is 804312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11223 + ... + 11241.

It is an arithmetic number, because the mean of its divisors is an integer number (7350).

2²¹³⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

213408 is an abundant number, since it is smaller than the sum of its proper divisors (492192).

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

213408 is a wasteful number, since it uses less digits than its factorization.

213408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 213408 is about 461.9610373181. The cubic root of 213408 is about 59.7590335483.

The spelling of 213408 in words is "two hundred thirteen thousand, four hundred eight".