213644112 has 160 divisors (see below), whose sum is σ = 629959680. Its totient is φ = 61824000.

The previous prime is 213644111. The next prime is 213644141. The reversal of 213644112 is 211446312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213644111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1536939 + ... + 1537077.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2^213644112 is an apocalyptic number.

213644112 is a gapful number since it is divisible by the number (22) 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 213644112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

213644112 is an abundant number, since it is smaller than the sum of its proper divisors (416315568).

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

213644112 is a wasteful number, since it uses less digits than its factorization.

213644112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 213644112 is about 14616.5697754295. The cubic root of 213644112 is about 597.8106431333.

The spelling of 213644112 in words is "two hundred thirteen million, six hundred forty-four thousand, one hundred twelve".