213883620 has 96 divisors (see below), whose sum is σ = 617041152. Its totient is φ = 55331328.

The previous prime is 213883619. The next prime is 213883633. The reversal of 213883620 is 26388312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327214 + ... + 327866.

It is an arithmetic number, because the mean of its divisors is an integer number (6427512).

Almost surely, 2^213883620 is an apocalyptic number.

213883620 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 213883620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308520576).

213883620 is an abundant number, since it is smaller than the sum of its proper divisors (403157532).

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

213883620 is a wasteful number, since it uses less digits than its factorization.

213883620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 213883620 is about 14624.7605108597. The cubic root of 213883620 is about 598.0339536953.

It can be divided in two parts, 2138 and 83620, that added together give a palindrome (85758).

The spelling of 213883620 in words is "two hundred thirteen million, eight hundred eighty-three thousand, six hundred twenty".