213420240 has 120 divisors (see below), whose sum is σ = 781923168. Its totient is φ = 51736320.

The previous prime is 213420203. The next prime is 213420257. The reversal of 213420240 is 42024312.

213420240 is a `hidden beast` number, since 2 + 1 + 3 + 420 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5554 + ... + 21393.

Almost surely, 2^213420240 is an apocalyptic number.

213420240 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 213420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390961584).

213420240 is an abundant number, since it is smaller than the sum of its proper divisors (568502928).

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

213420240 is a wasteful number, since it uses less digits than its factorization.

213420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26977 (or 26968 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 213420240 is about 14608.9096102344. The cubic root of 213420240 is about 597.6017601815.

Adding to 213420240 its reverse (42024312), we get a palindrome (255444552).

The spelling of 213420240 in words is "two hundred thirteen million, four hundred twenty thousand, two hundred forty".