213403620 has 96 divisors (see below), whose sum is σ = 612460800. Its totient is φ = 55503360.

The previous prime is 213403613. The next prime is 213403627. The reversal of 213403620 is 26304312.

It is a happy number.

213403620 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213403613) and next prime (213403627).

It is a super-2 number, since 2×213403620² = 91082210058208800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213403627) 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, 728194 + ... + 728486.

It is an arithmetic number, because the mean of its divisors is an integer number (6379800).

Almost surely, 2^213403620 is an apocalyptic number.

213403620 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 213403620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306230400).

213403620 is an abundant number, since it is smaller than the sum of its proper divisors (399057180).

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

213403620 is a wasteful number, since it uses less digits than its factorization.

213403620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 213403620 is about 14608.3407682050. The cubic root of 213403620 is about 597.5862471275.

Adding to 213403620 its reverse (26304312), we get a palindrome (239707932).

The spelling of 213403620 in words is "two hundred thirteen million, four hundred three thousand, six hundred twenty".