213055920 has 600 divisors, whose sum is σ = 954434448. Its totient is φ = 43545600.

The previous prime is 213055889. The next prime is 213055991. The reversal of 213055920 is 29550312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3492690 + ... + 3492750.

Almost surely, 2^213055920 is an apocalyptic number.

213055920 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 213055920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477217224).

213055920 is an abundant number, since it is smaller than the sum of its proper divisors (741378528).

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

213055920 is a wasteful number, since it uses less digits than its factorization.

213055920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 213055920 is about 14596.4351812352. The cubic root of 213055920 is about 597.2615202296.

It can be divided in two parts, 21305 and 5920, that added together give a square (27225 = 165²).

The spelling of 213055920 in words is "two hundred thirteen million, fifty-five thousand, nine hundred twenty".