213555420 has 192 divisors, whose sum is σ = 740880000. Its totient is φ = 50706432.

The previous prime is 213555371. The next prime is 213555427. The reversal of 213555420 is 24555312.

It is a happy number.

It is a super-2 number, since 2×213555420² = 91211834822752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213555427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203056 + ... + 204104.

It is an arithmetic number, because the mean of its divisors is an integer number (3858750).

Almost surely, 2^213555420 is an apocalyptic number.

213555420 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 213555420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370440000).

213555420 is an abundant number, since it is smaller than the sum of its proper divisors (527324580).

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

213555420 is a wasteful number, since it uses less digits than its factorization.

213555420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 213555420 is about 14613.5355065090. The cubic root of 213555420 is about 597.7279068485.

The spelling of 213555420 in words is "two hundred thirteen million, five hundred fifty-five thousand, four hundred twenty".